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arxiv: 1407.0301 · v3 · pith:UMKIX4P5new · submitted 2014-07-01 · 🧮 math.AT · math.GT

On a twisted Reidemeister torsion

classification 🧮 math.AT math.GT
keywords twistedcomplexreidemeistertorsionclosedcochaincurrentsdefine
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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, defined by J. Dupont.

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