Diffeomorphisms, Analytic Torsion and Noncommutative Geometry
dg-ga
2008-02-03 v1 微分几何
摘要
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).
引用
@article{arxiv.dg-ga/9607006,
title = {Diffeomorphisms, Analytic Torsion and Noncommutative Geometry},
author = {John Lott},
journal= {arXiv preprint arXiv:dg-ga/9607006},
year = {2008}
}
备注
54 pages, AMS-Latex