Complex valued Ray--Singer torsion II
Differential Geometry
2015-06-09 v1
Abstract
In this paper we extend Witten-Helffer-Sj\"ostrand theory from selfadjoint Laplacians based on fiber wise Hermitian structures, to non-selfadjoint Laplacians based on fiber wise non-degenerate symmetric bilinear forms. As an application we verify, up to sign, the conjecture about the comparison of the Milnor-Turaev torsion with the complex valued analytic torsion, for odd dimensional manifolds. This is done along the lines of Burghelea, Friedlander and Kappeler's proof of the Cheeger-M\"uller theorem.
Cite
@article{arxiv.math/0610875,
title = {Complex valued Ray--Singer torsion II},
author = {Dan Burghelea and Stefan Haller},
journal= {arXiv preprint arXiv:math/0610875},
year = {2015}
}
Comments
35 pages