Relative torsion

Details Relative torsion Relative torsion

1999-09-30

arxiv.org/abs/math/9909186v1

Mathematics

Differential Geometry

78 pages, AMS Latex

Scientific paper

This paper achieves, among other things, the following: 1)It frees the main result of [BFKM] from the hypothesis of determinant class and extends this result from unitary to arbitrary representations. 2)It extends (and at the same times provides a new proof of) the main result of Bismut and Zhang [BZ] from finite dimensional representations of $\Gamma$ to representations on an ${\cal A}-$Hilbert module of finite type (${\cal A}$ a finite von Neumann algebra). The result of [BZ] corresponds to ${\cal A}=\bbc.$ 3)It provides interesting real valued functions on the space of representations of the fundamental group $\Gamma$ of a closed manifold M. These functions might be a useful source of topological and geometric invariants of M. These objectives are achieved with the help of the relative torsion $\cal R $, first introduced by Carey, Mathai and Mishchenko [CMM] in special cases. The main result of this paper calculates explicitly this relative torsion (cf Theorem 0.1).

Affiliated with

Also associated with

No associations

Rating

Relative torsion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relative torsion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative torsion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65781