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On the homotopy invariance of L^2 torsion for covering spaces

Varghese Mathai·Mel Rothenberg
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Abstract

We prove the homotopy invariance of L^2 torsion for covering spaces, whenever the covering transformation group is either residually finite or amenable. In the case when the covering transformation group is residually finite and when the L^2 cohomology of the covering space vanishes, the homotopy invariance was established earlier by Lueck. We also give some applications of our results.

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BibTeXRIS

Varghese Mathai, Mel Rothenberg. 1997-06-06. On the homotopy invariance of L^2 torsion for covering spaces. https://arxiv.org/abs/dg-ga/9706006

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