Reidemeister torsion for flat superconnections
Differential Geometry
2011-08-26 v1 Algebraic Topology
Abstract
We use higher parallel transport -- more precisely, the integration A_{infty}-functor constructed by Block-Smith and Arias Abad-Schaetz -- to define Reidemeister torsion for flat superconnections. We hope that the combinatorial Reidemeister torsion coincides with the analytic torsion defined by Mathai and Wu, thus permitting for a generalization of the Cheeger-Mueller Theorem.
Cite
@article{arxiv.1108.5103,
title = {Reidemeister torsion for flat superconnections},
author = {Camilo Arias Abad and Florian Schaetz},
journal= {arXiv preprint arXiv:1108.5103},
year = {2011}
}
Comments
23 pages