arXiv subjects

Benjamin Waßermann

Publications and source records attributed to Benjamin Waßermann.

2 recordsLinked to original sources

arXiv2020

The $L^2$-torsion for representations of hyperbolic lattices

We prove equality of analytic and topological $L^2$-torsion associated with an odd-dimensional finite volume hyperbolic manifold and a representation of the fundamental group which extends to the ambient Lie group. This generalizes a previous result due to Lück and Schick. Alternatively, this result can be regarded as the $L^2$-analogue of recent work by Müller and Rochon.

math.AT↗

arXiv2020

An $L^2$-Cheeger Müller theorem on compact manifolds-with-boundary

We generalize a Cheeger-Müller type theorem for flat, unitary bundles on infinite covering spaces over manifolds-with-boundary, proven by Burghelea, Friedlander and Kappeller arXiv:dg-ga/9510010 [math.DG]. Employing recent anomaly results by Brüning, Ma and Zhang, we prove an analogous statement for a general flat bundle that is only required to have a unimodular restriction to the boundary.

math.DG↗