4 papers · 1 filter
The eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary
Paul Kirk, Matthias Lesch
Several proofs have been published of the Mod Z gluing formula for the eta-invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the eta…
Determinants of regular singular Sturm-Liouville operators
Matthias Lesch
We consider a regular singular Sturm-Liouville operator on the line segment . We impose certain boundary conditions such th…
Spectral theory of boundary value problems for Dirac type operators
Jochen Brüning, Matthias Lesch
The purpose of this note is to describe a unified approach to the fundamental results in the spectral theory of boundary value problems, restricted to the case of Dirac type operat…
On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties
D. Grieser, M. Lesch
For a projective algebraic variety with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential op…