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Equivalence of higher torsion invariants
Authors:Bernard Badzioch  Wojciech Dorabia?a  John R. Klein  Bruce Williams
Affiliation:aDepartment of Mathematics, University at Buffalo, SUNY, Buffalo, NY, United States;bDepartment of Mathematics, Penn State Altoona, Altoona, PA, United States;cDepartment of Mathematics, Wayne State University, Detroit, MI, United States;dDepartment of Mathematics, University of Notre Dame, IN, United States
Abstract:We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer–Weiss–Williams torsion is proportional to the higher torsion of Igusa and Klein.
Keywords:Reidemeister torsion   Higher torsion   Unipotent bundle
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