A K-theoretic relative index theorem and Callias-type Dirac operators.
Gamma-cohomology and the Selberg zeta function.
A geometric description of differential cohomology
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...
Comparison of Dirac operators on manifolds with
The author introduces boundary conditions for Dirac operators giving selfadjoint extensions such that the Hamiltonians define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators associated to a pair of Dirac operators coinciding on cocompact sets.
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group.
Gerbes and homotopy quantum field theories.
Page 1