Relative torsion
| dc.creator | Burghelea, D. | |
| dc.creator | Friedlander, Leonid | |
| dc.creator | Kappeler, T. | |
| dc.date | 1999-09-30 | |
| dc.date.accessioned | 2026-07-07T05:30:58Z | |
| dc.date.available | 2026-07-07T05:30:58Z | |
| dc.description | 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 $Γ$ 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 $Γ$ 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). | |
| dc.description | 78 pages, AMS Latex | |
| dc.identifier | https://arxiv.org/abs/math/9909186 | |
| dc.identifier | http://arxiv.org/abs/math/9909186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79179 | |
| dc.subject | Differential Geometry | |
| dc.title | Relative torsion | |
| dc.type | text |