On a twisted Reidemeister torsion

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 current...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2016-03, Vol.144 (3), p.1351-1361
Main Author: Ricardo García López
Format: Article
Language:English
Subjects:
G. TOPOLOGY
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc12779