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Longer titles found: Localized Chern class (view)

searching for Chern class 21 found (133 total)

Equivariant cohomology (1,813 words) [view diff] exact match in snippet view article find links to article

first Chern class; hence, it belongs to the completion of the equivariant cohomology ring.) In the non-equivariant case, the first Chern class can be

Nearly Kähler manifold (782 words) [view diff] exact match in snippet view article find links to article

nearly Kähler manifold is an Einstein manifold and has vanishing first Chern class (in particular, this implies spin). In the 1980s, strict nearly Kähler

Fano surface (742 words) [view diff] exact match in snippet view article find links to article

surface intersection of {w=0} and F, therefore we recover that the second Chern class of S equals 27. b) Let w1, w2 be two 1-forms on S. The canonical divisor

Tian Gang (3,114 words) [view diff] exact match in snippet view article find links to article

had settled the case of closed Kähler manifolds with nonpositive first Chern class. His work in applying the method of continuity showed that C0 control

Nef line bundle (2,037 words) [view diff] exact match in snippet view article find links to article

every curve C in X. To go back from line bundles to divisors, the first Chern class is the isomorphism from the Picard group of line bundles on a variety

Godeaux surface (206 words) [view diff] exact match in snippet view article find links to article

rational surfaces do, though it is not rational. The square of the first Chern class c 1 2 = 1 {\displaystyle c_{1}^{2}=1} (and moreover the canonical class

Xu-Jia Wang (509 words) [view diff] exact match in snippet view article find links to article

(2004). "Kähler-Ricci solitons on toric manifolds with positive first Chern class". Advances in Mathematics. 188 (1): 87–103. doi:10.1016/j.aim.2003.09

Oswald Veblen Prize in Geometry (1,778 words) [view diff] exact match in snippet view article find links to article

for: On Calabi's conjecture for complex surfaces with positive first Chern class. Invent. Math. 101 (1990), no. 1, 101–172. Compactness theorems for Kähler-Einstein

Donaldson's theorem (1,240 words) [view diff] exact match in snippet view article find links to article

line bundles over X {\displaystyle X} are classified by their first Chern class c 1 ( L ) ∈ H 2 ( X ; Z ) {\displaystyle c_{1}(L)\in H^{2}(X;\mathbb

Ramond–Ramond field (2,285 words) [view diff] exact match in snippet view article find links to article

characteristic class of twisted K-theory, is already known. It is the twisted Chern class defined in Twisted K-theory and the K-theory of Bundle Gerbes by Peter

Hermitian Yang–Mills connection (1,048 words) [view diff] exact match in snippet view article find links to article

equation Gauge theory (mathematics) Kobayashi, Shoshichi (1980), "First Chern class and holomorphic tensor fields", Nagoya Mathematical Journal, 77: 5–11

Surface of general type (1,446 words) [view diff] exact match in snippet view article find links to article

diagram have been studied in detail. For these surfaces with second Chern class can be any integer from 3 to 11. Surfaces with all these values are known;

Serre spectral sequence (2,641 words) [view diff] exact match in snippet view article find links to article

{\displaystyle e({\mathcal {E}})} . In this case it is given by the top chern class of E {\displaystyle {\mathcal {E}}} . For example, consider the vector

Serre spectral sequence (2,641 words) [view diff] exact match in snippet view article find links to article

{\displaystyle e({\mathcal {E}})} . In this case it is given by the top chern class of E {\displaystyle {\mathcal {E}}} . For example, consider the vector

Chow group of a stack (1,446 words) [view diff] exact match in snippet view article find links to article

{Q} [c]} where c = c 1 ( h ) {\displaystyle c=c_{1}(h)} is the first Chern class of h (and c and h are identified when Chow groups and Chow rings of projective

Ricci soliton (854 words) [view diff] exact match in snippet view article find links to article

(2004), "Kähler-Ricci solitons on toric manifolds with positive first Chern class", Advances in Mathematics, 188 (1): 87–103, doi:10.1016/j.aim.2003.09

Conley conjecture (414 words) [view diff] exact match in snippet view article find links to article

Ginzburg--Gurel and Hein proved the Conley conjecture for manifolds whose first Chern class vanishes on spherical classes. Finally, Ginzburg--Gurel proved the Conley

Mikhael Gromov (mathematician) (3,749 words) [view diff] exact match in snippet view article

G. On Calabi's conjecture for complex surfaces with positive first Chern class. Invent. Math. 101 (1990), no. 1, 101–172. Grisha Perelman. The entropy

Alan T. Waterman Award (2,934 words) [view diff] exact match in snippet view article find links to article

proof that the moduli space for Kähler-Einstein metrics with zero first Chern class is non-singular, and his proof of the stability of algebraic manifolds

Tautological ring (1,649 words) [view diff] exact match in snippet view article find links to article

forgetful map that forgets the point y2. This class coincides with the first Chern class of a certain line bundle. For i ≥ 1 {\displaystyle i\geq 1} we also define

Timeline of manifolds (1,178 words) [view diff] exact match in snippet view article find links to article

mirror symmetry conjecture: X a compact symplectic manifold with first chern class c1(X) = 0 and Y a compact Calabi–Yau manifold are mirror pairs if and