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Longer titles found: Almost complex manifold (view), Hypercomplex manifold (view)

searching for Complex manifold 123 found (347 total)

alternate case: complex manifold

Generalized complex structure (3,142 words) [view diff] exact match in snippet view article find links to article

generalized complex manifold is, up to diffeomorphism and B-field, a product of a symplectic manifold with a generalized complex manifold which is of
List of general topology topics (401 words) [view diff] case mismatch in snippet view article find links to article
dimension Lebesgue's number lemma Polytope Simplex Simplicial complex CW complex Manifold Triangulation Barycentric subdivision Sperner's lemma Simplicial approximation
Cartan's theorems A and B (409 words) [view diff] exact match in snippet view article find links to article
in the sense that if H1(X, F) = 0 for all coherent sheaves F on a complex manifold X (resp. quasi-coherent sheaves F on a noetherian scheme X), then X
Nakano vanishing theorem (330 words) [view diff] exact match in snippet view article find links to article
theorem, generalizes the Kodaira vanishing theorem. Given a compact complex manifold M with a holomorphic line bundle F over M, the Nakano vanishing theorem
Matsusaka's big theorem (134 words) [view diff] exact match in snippet view article find links to article
In algebraic geometry, given an ample line bundle L on a compact complex manifold X, Matsusaka's big theorem gives an integer m, depending only on the
Perverse sheaf (2,253 words) [view diff] exact match in snippet view article find links to article
categories associated to topological spaces, which may be a real or complex manifold, or more general topologically stratified spaces, possibly singular
Fulton–MacPherson compactification (78 words) [view diff] exact match in snippet view article find links to article
configuration space of n distinct labeled points in a compact complex manifold is a compact complex manifold that contains the configuration space as an open dense
David Mumford (2,107 words) [view diff] exact match in snippet view article find links to article
non-Kähler complex manifold; in particular, a projective embedding of such a variety is not as strong as a Kähler metric on a complex manifold, and the
S-brane (125 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
List of string theory topics (430 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7) manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten domain wall
U-duality (126 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Spin(7)-manifold (350 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Barton Zwiebach (231 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
P-form electrodynamics (544 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
M2-brane (334 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Matrix string theory (162 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
N = 2 superstring (155 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Bridgeland stability condition (1,049 words) [view diff] exact match in snippet view article find links to article
category of coherent sheaves on a complex manifold X {\displaystyle X} , this set actually has the structure of a complex manifold itself. It is shown by Bridgeland
F-theory (440 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Hořava–Witten theory (89 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Type I string theory (542 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
NS5-brane (174 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
GS formalism (184 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Chern–Simons form (611 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Worldsheet (524 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Tachyon condensation (616 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
F4 (mathematics) (983 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Iitaka dimension (1,128 words) [view diff] exact match in snippet view article find links to article
_{mK}(M)\subset \mathbb {P} ^{N}} be the m-pluricanonical map where W is the complex manifold embedded into projective space PN. In the case of surfaces with κ(M)=1
Dirac string (405 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
String (physics) (671 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Loop algebra (957 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Quiver diagram (415 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Supergroup (physics) (615 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Brane cosmology (1,204 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Matrix theory (physics) (679 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Hanany–Witten transition (578 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Kalb–Ramond field (464 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Dilaton (1,319 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Hodge structure (4,881 words) [view diff] exact match in snippet view article find links to article
structures parameterized by a complex manifold X. More precisely a variation of Hodge structure of weight n on a complex manifold X consists of a locally constant
Non-linear sigma model (1,287 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
G2 manifold (938 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Lefschetz theorem on (1,1)-classes (778 words) [view diff] exact match in snippet view article
theorem, this proves the theorem on (1,1)-classes. Because X is a complex manifold, it admits an exponential sheaf sequence 0 → Z _ ⟶ 2 π i O X ⟶ exp
M5-brane (409 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Orientifold (1,169 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Non-critical string theory (810 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Graviton (2,333 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
G2 (mathematics) (2,056 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Introduction to M-theory (1,042 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Type II string theory (1,126 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Weil cohomology theory (878 words) [view diff] no match in snippet view article find links to article
groups exceeding twice the dimension is clear from the fact that a (complex) manifold of complex dimension n has real dimension 2n, so these higher cohomology
Topology (4,208 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Superconformal algebra (1,311 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Interior (topology) (2,257 words) [view diff] case mismatch in snippet view article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Tachyon (3,310 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
List of quantum field theories (276 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Theta characteristic (702 words) [view diff] exact match in snippet view article find links to article
is 0 or 1. Atiyah (1971) showed that, for a compact complex manifold, choices of theta characteristics correspond bijectively to spin structures
Toshiki Mabuchi (630 words) [view diff] exact match in snippet view article find links to article
case that the Kähler class represents the first Chern class of the complex manifold, one has a relation to the Kähler-Einstein problem, due to the fact
E7 (mathematics) (2,831 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Nambu–Goto action (1,703 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Long line (topology) (1,906 words) [view diff] exact match in snippet view article
paracompact, but Calabi and Rosenlicht gave an example of a non-paracompact complex manifold of complex dimension 2. Lexicographic order topology on the unit square
Dual photon (1,230 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Black brane (846 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
String theory landscape (1,788 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Superspace (2,266 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Transversality (mathematics) (1,741 words) [view diff] exact match in snippet view article
bundle over the space of maps from a Riemann surface into an almost-complex manifold. The zero set of this section consists of holomorphic maps. If the
Transcendental extension (1,682 words) [view diff] exact match in snippet view article find links to article
a theorem due to Siegel states that if X is a compact, connected, complex manifold of dimension n and K(X) denotes the field of (globally defined) meromorphic
Schottky group (1,224 words) [view diff] exact match in snippet view article find links to article
up to equivalence under Möbius transformations (Bers 1975). It is a complex manifold of complex dimension 3g−3. It contains classical Schottky space as
Superstring theory (3,009 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
List of American mathematicians (1,051 words) [view diff] exact match in snippet view article find links to article
Granville (1924–2023) Phillip Griffiths (b. 1938), major contributor to complex manifold approach to algebraic geometry Benedict Gross (b. 1950) Frank Harary
Twisted K-theory (1,905 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
ELSV formula (2,468 words) [view diff] exact match in snippet view article find links to article
(complex) dimension 3g − 3 + n. (Heuristically this behaves much like complex manifold, except that integrals of characteristic classes that are integers
Kac–Moody algebra (2,467 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Anomaly (physics) (2,809 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
S-duality (2,501 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
T-duality (2,438 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Polyakov action (2,377 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Lie superalgebra (2,397 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Heterotic string theory (570 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Boundary (topology) (3,803 words) [view diff] case mismatch in snippet view article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Holographic principle (3,969 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Ramond–Ramond field (2,285 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
D-brane (3,291 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Coarse structure (1,327 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Dual graviton (2,722 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
E6 (mathematics) (3,820 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Wess–Zumino–Witten model (3,665 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Conformal anomaly (1,611 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Bogomol'nyi–Prasad–Sommerfield bound (2,633 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Moduli space (4,050 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Seiberg–Witten theory (2,560 words) [view diff] exact match in snippet view article find links to article
^{2}} . The (classical) moduli space of vacua is a one-dimensional complex manifold (Riemann surface) parametrized by u {\displaystyle u} , although the
K-theory (physics) (3,013 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Supergravity (4,220 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Closure (topology) (4,287 words) [view diff] case mismatch in snippet view article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
History of string theory (4,201 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Real algebraic geometry (3,217 words) [view diff] exact match in snippet view article find links to article
that every closed smooth 3–manifold is the real part of a compact complex manifold which can be obtained from C P 3 {\displaystyle \mathbb {CP} ^{3}}
General topology (5,740 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
World Professional Association for Transgender Health (4,072 words) [view diff] no match in snippet view article find links to article
June 23, 2018. "Trans Care within and against the Medical-Industrial Complex". manifold.umn.edu. Amengual, Travis; Kunstman, Kaitlyn; Lloyd, R. Brett; Janssen
E8 (mathematics) (6,100 words) [view diff] exact match in snippet view article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Black hole (18,731 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Standards of Care for the Health of Transgender and Gender Diverse People (2,914 words) [view diff] no match in snippet view article find links to article
June 23, 2018. "Trans Care within and against the Medical-Industrial Complex". manifold.umn.edu. Amengual, Travis; Kunstman, Kaitlyn; Lloyd, R. Brett; Janssen
Reflexive space (6,409 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathcal {O}}(M)} of holomorphic functions on arbitrary complex manifold M , {\displaystyle M,} and its strong dual space O ′ ( M ) {\displaystyle
Montonen–Olive duality (3,288 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
String theory (15,290 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Riemann–Roch theorem (4,966 words) [view diff] exact match in snippet view article find links to article
dimension of a Riemann surface as a real manifold is two, but one as a complex manifold. The compactness of a Riemann surface is paralleled by the condition
AdS/CFT correspondence (6,680 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Supersymmetry (7,569 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Initial topology (3,388 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Hilbert scheme (3,409 words) [view diff] exact match in snippet view article find links to article
product. The Hilbert scheme of points on a curve C (a dimension-1 complex manifold) is isomorphic to a symmetric power of C. It is smooth. The Hilbert
Kaluza–Klein theory (7,301 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Instanton (6,385 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Chow group (4,204 words) [view diff] exact match in snippet view article find links to article
Arakelov-theoretical information, that is, differential forms on the associated complex manifold. The theory of Chow groups of schemes of finite type over a field extends
RNS formalism (4,752 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Glossary of string theory (5,167 words) [view diff] exact match in snippet view article find links to article
Kähler Kaehler Named after Erich Kähler 1.  A Kähler manifold is a complex manifold with a compatible Riemannian metric. 2.  A Kähler metric is the metric
Convergence space (2,542 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Final topology (4,320 words) [view diff] case mismatch in snippet view article find links to article
homotopy group fundamental group Simplicial complex CW complex Polyhedral complex Manifold Bundle (mathematics) Second-countable space Cobordism Metrics and properties
Chern–Weil homomorphism (2,782 words) [view diff] exact match in snippet view article find links to article
_{k=0}^{n}g_{k}(x)t^{k}.} Let E be a holomorphic (complex-)vector bundle on a complex manifold M. The curvature form Ω {\displaystyle \Omega } of E, with respect
String field theory (5,311 words) [view diff] exact match in snippet view article find links to article
Hyperkähler manifold K3 surface G2 manifold Spin(7)-manifold Generalized complex manifold Orbifold Conifold Orientifold Moduli space Hořava–Witten theory K-theory
Ample line bundle (6,874 words) [view diff] exact match in snippet view article find links to article
Holomorphic vector bundle Kodaira embedding theorem: on a compact complex manifold, ampleness and positivity coincide. Kodaira vanishing theorem Lefschetz
List of Japanese inventions and discoveries (14,063 words) [view diff] exact match in snippet view article find links to article
determinant. Hironaka's example Hironaka's example is a non-Kähler complex manifold that is a deformation of Kähler manifolds discovered by Heisuke Hironaka
Lane P. Hughston (4,067 words) [view diff] case mismatch in snippet view article find links to article
129–133. L. P. Hughston (1979) Some New Contour Integral Formulae, in Complex Manifold Techniques in Theoretical Physics (D. Lerner & P. D. Sommers, eds)
Cotangent complex (4,731 words) [view diff] exact match in snippet view article find links to article
cotangent complex can be computed in many situations. In fact, for a complex manifold X {\displaystyle X} , its cotangent complex is given by Ω X 1 {\displaystyle
Schwarzian derivative (7,160 words) [view diff] exact match in snippet view article find links to article
a subspace of universal Teichmüller space. It is also naturally a complex manifold and this and other natural geometric structures are compatible with
Glossary of algebraic topology (7,621 words) [view diff] exact match in snippet view article find links to article
the configuration space of n distinct labeled points in a compact complex manifold is a natural smooth compactification introduced by Fulton and MacPherson