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arXiv · 2512.16749

Transgressions and Chern characters in coarse homotopy theory

Ulrich Bunke
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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 $K$-theory like coarse or Borel-Moore type homology theory to an ordinary version.

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Ulrich Bunke. 2025-12-18. Transgressions and Chern characters in coarse homotopy theory. https://arxiv.org/abs/2512.16749

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