Removing Metric Anomalies from Ray Singer Torsion
Differential Geometry
2007-05-23 v2
Abstract
Ray Singer torsion is a numerical invariant associated with a compact Riemannian manifold equipped with a flat bundle and a Hermitian structure on this bundle. In this note we show how one can remove the dependence on the Riemannian metric and on the Hermitian structure with the help of a base point and of an Euler structure, in order to obtain a topological invariant. A numerical invariant for an Euler structure and additional data is also constructed.
Cite
@article{arxiv.math/9807007,
title = {Removing Metric Anomalies from Ray Singer Torsion},
author = {Dan Burghelea},
journal= {arXiv preprint arXiv:math/9807007},
year = {2007}
}
Comments
10 pages, AMSTEX,typos corrected, thanks added