Localization formulae in odd K-theory

Details Localization formulae in odd K-theory Localization formulae in odd K-theory

2009-01-16

arxiv.org/abs/0901.2563v3

Mathematics

Differential Geometry

90 pages; 1 figure

Scientific paper

We describe a class of real Banach manifolds, which classify $K^{-1}$. These manifolds are Grassmannians of (hermitian) lagrangian subspaces in a complex Hilbert space. Certain finite codimensional real subvarieties described by incidence relations define geometric representatives for the generators of the cohomology rings of these classifying spaces. Any family of self-adjoint, Fredholm operators parametrized by a closed manifold comes with a map to one of these spaces. We use these Schubert varieties to describe the Poincare duals of the pull-backs to the parameter space of the cohomology ring generators. The class corresponding to the first generator is the spectral flow.

Affiliated with

Also associated with

No associations

Rating

Localization formulae in odd K-theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Localization formulae in odd K-theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization formulae in odd K-theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118669