English

Comparison of Higher Smooth Torsion

K-Theory and Homology 2019-01-10 v1 Algebraic Topology Geometric Topology

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.

Cite

@article{arxiv.1901.02481,
  title  = {Comparison of Higher Smooth Torsion},
  author = {Christopher Ohrt},
  journal= {arXiv preprint arXiv:1901.02481},
  year   = {2019}
}

Comments

31 pages, 1 figure; comments welcome

R2 v1 2026-06-23T07:06:26.518Z