Transgressions and Chern characters in coarse homotopy theory
Algebraic Topology
2026-01-21 v2 K-Theory and Homology
Abstract
This paper investigates a variety of coarse homology theories and natural transformations between them. We in particular study the commutativity of a square relating analytical and topological transgressions with algebraic and homotopy theoretic Chern characters. Here a transgression is a natural transformation from a coarse homology theory to a functor which factorizes over the Higson corona functor, and a Chern character is a transformation from a -theory like coarse or Borel-Moore type homology theory to an ordinary version.
Cite
@article{arxiv.2512.16749,
title = {Transgressions and Chern characters in coarse homotopy theory},
author = {Ulrich Bunke},
journal= {arXiv preprint arXiv:2512.16749},
year = {2026}
}
Comments
119 pages, minor improvements