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searching for Spinc structure 6 found (11 total)

Spin structure (4,373 words) [view diff] case mismatch in snippet view article find links to article

definition is that a spinC structure on a manifold N is a complex line bundle L over N together with a spin structure on TN ⊕ L. A spinC structure exists when

Stiefel–Whitney class (4,071 words) [view diff] exact match in snippet view article find links to article

Stiefel–Whitney class is zero) if and only if the bundle admits a spinc structure. All the Stiefel–Whitney numbers (see below) of a smooth compact manifold

Poincaré duality (2,740 words) [view diff] no match in snippet view article find links to article

generalized notion of orientability for that theory. For example, a spinC-structure on a manifold is a precise analog of an orientation within complex

Gravitational instanton (2,560 words) [view diff] exact match in snippet view article find links to article

Dirac spinors. That is, it is not a spin structure. It can be given a spinc structure, however. The Page space, which exhibits an explicit Einstein metric

Ginzburg–Landau theory (4,193 words) [view diff] exact match in snippet view article find links to article

constant section. When the manifold is four-dimensional, possessing a spinc structure, then one may write a very similar functional, the Seiberg–Witten functional

Gauge theory (mathematics) (11,468 words) [view diff] case mismatch in snippet view article

{\displaystyle \psi } . In this case the four-manifold must admit a SpinC structure, which defines a principal SpinC bundle P {\displaystyle P} with determinant