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Diffeomorphisms, Analytic Torsion and Noncommutative Geometry

John Lott
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Abstract

We prove an index theorem concerning the pushforward of flat B-vector bundles, where B is an appropriate algebra. We construct the associated analytic torsion form T. If Z is a smooth closed aspherical manifold, we show that T gives invariants of the homotopy groups of Diff(Z).

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John Lott. 1996-07-30. Diffeomorphisms, Analytic Torsion and Noncommutative Geometry. https://arxiv.org/abs/dg-ga/9607006

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