Equivalence of higher torsion invariants
Algebraic Topology
2009-04-30 v1 K-Theory and Homology
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
Cite
@article{arxiv.0904.4684,
title = {Equivalence of higher torsion invariants},
author = {Bernard Badzioch and Wojciech Dorabiala and John R. Klein and Bruce Williams},
journal= {arXiv preprint arXiv:0904.4684},
year = {2009}
}
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37 pages