Transgressions and Chern characters in coarse homotopy theory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908774836469760 |
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| author | Bunke, Ulrich |
| author_facet | Bunke, Ulrich |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Transgressions and Chern characters in coarse homotopy theory Bunke, Ulrich Algebraic Topology K-Theory and Homology 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. |
| title | Transgressions and Chern characters in coarse homotopy theory |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2512.16749 |