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arXiv · 1108.5103

Reidemeister torsion for flat superconnections

Camilo Arias Abad·Florian Schaetz
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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.

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Camilo Arias Abad, Florian Schaetz. 2011-08-25. Reidemeister torsion for flat superconnections. https://arxiv.org/abs/1108.5103

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