Equivalence of higher torsion invariants

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.

37 pages

References in corpus (1)

• Morse theory and higher torsion invariants II