On a twisted Reidemeister torsion

García López, Ricardo

doi:10.1090/proc12779

On a twisted Reidemeister torsion
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by Ricardo García López

Proc. Amer. Math. Soc. 144 (2016), 1351-1361

DOI: https://doi.org/10.1090/proc12779

Published electronically: July 29, 2015

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Abstract:

Given a finite simplicial complex, a unimodular representation of its fundamental group, and a closed twisted cochain of odd degree, we define a twisted version of the Reidemeister torsion, extending a previous definition of V. Mathai and S. Wu. The main tool is a complex of piecewise smooth currents introduced by J. Dupont in 1986.

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