Reidemeister torsion for flat superconnections

Details Reidemeister torsion for flat superconnections Reidemeister torsion for flat superconnections

2011-08-25

arxiv.org/abs/1108.5103v1

Mathematics

Differential Geometry

23 pages

Scientific paper

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.

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