Comparison of Higher Smooth Torsion

Abstract

By explicitly comparing constructions, we prove that the higher torsion invariants of smooth bundles defined by Igusa and Klein via Morse theory agree with the higher torsion invariants defined by Badzioch, Dorabiala, Dwyer, Weiss, and Williams using homotopy theoretical methods.

31 pages, 1 figure; comments welcome

References in corpus (2)

• Axioms for higher torsion invariants of smooth bundles
• Torsion Invariants for Families

Cited by in corpus (1)

• Duality and vanishing theorems for topologically trivial families of smooth h-cobordisms