Equivalence of higher torsion invariants

Details Equivalence of higher torsion invariants Equivalence of higher torsion invariants

2009-04-29

arxiv.org/abs/0904.4684v1

Mathematics

Algebraic Topology

37 pages

Scientific paper

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.

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