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

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

1997-06-06

arxiv.org/abs/dg-ga/9706006v1

Proc. Amer. Math. Soc., 126 (1998) 887-897

Mathematics

Differential Geometry

LaTeX2e, 10 pages

Scientific paper

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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