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

Benjamin Waßermann

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arXiv · 2012.00380

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

Benjamin Waßermann

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Abstract

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 L\"uck and Schick. Alternatively, this result can be regarded as the $L^2$-analogue of recent work by M\"uller and Rochon.

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BibTeX RIS

Benjamin Waßermann. 2020-12-01. The $L^2$-torsion for representations of hyperbolic lattices. https://arxiv.org/abs/2012.00380

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