Localization formulae in odd K-theory
| dc.creator | Cibotaru, Daniel | |
| dc.date | 2009-01-16 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T12:54:42Z | |
| dc.date.available | 2026-07-07T12:54:42Z | |
| dc.description | 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. | |
| dc.description | 90 pages; 1 figure | |
| dc.identifier | https://arxiv.org/abs/0901.2563 | |
| dc.identifier | http://arxiv.org/abs/0901.2563 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224025 | |
| dc.subject | Differential Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | Geometric Topology | |
| dc.subject | 58B05; 58J30; 58J20; 58B15; 47B25; 47B10; 14M15 | |
| dc.title | Localization formulae in odd K-theory | |
| dc.type | text |