In geometry , a spin structure is an additional piece of data which can sometimes be specified on a vector bundle over a...
Hirzebruch showed that the L genus of a manifold of dimension 4 n is equal to the signature (of the 2 n th cohomology gr...
Hopf bundle Associated bundle Vector bundle Tangent bundle Cotangent bundle Line bundle Jet bundle [ edit ] Fundamental ...
Submanifold . A submanifold is the image of a smooth embedding of a manifold. Submersion Surface , a two-dimensional man...
Symplectic geometry Main article: Symplectic geometry Symplectic geometry is the study of symplectic manifolds . An almo...
F. P. Peterson? 1967 ). [ edit ] Symplectic cobordism Spectrum: MSp (Thom spectrum of symplectic group ) Coefficient rin...
Alvarez-Gaume , gave a short proof of the local index theorem for operators that are locally Dirac operators . (This cov...
