Diffeomorphisms, Analytic Torsion and Noncommutative Geometry

Details Diffeomorphisms, Analytic Torsion and Noncommutative Geometry Diffeomorphisms, Analytic Torsion and Noncommutative Geometry

1996-07-30

arxiv.org/abs/dg-ga/9607006v1

Mathematics

Differential Geometry

54 pages, AMS-Latex

Scientific paper

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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