Comparison of Higher Smooth Torsion

2019/01/08 by Ohrt, Christopher
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1901.02481

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.

Related

• Equivalence of higher torsion invariants
• Morse theory and higher torsion invariants I
• Twisted Higher Smooth Torsion
• Morse theory and higher torsion invariants II
• Exotic smooth structures on topological fibre bundles I