### A K-theoretic relative index theorem and Callias-type Dirac operators.

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Back to Simple Search
# Advanced Search

In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular cobordism...

The author introduces boundary conditions for Dirac operators $D$ giving selfadjoint extensions such that the Hamiltonians $H={D}^{2}$ define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators ${e}^{-tH}$ associated to a pair of Dirac operators coinciding on cocompact sets.

**Page 1**