2009/04/29 by Bernard Badzioch, Wojciech Dorabiała, Badzioch, Bernard +5
Mathematics · #19J10 #55R10 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.0904.4684
openalex publication_date 2009/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.