Reidemeister torsion for flat superconnections

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.

23 pages

References in corpus (2)

• Iterated integrals of superconnections
• A Riemann--Hilbert correspondence for infinity local systems

Cited by in corpus (1)

• On a twisted Reidemeister torsion