Branched coarse coverings and transfer maps
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909675344101376 |
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| author | Bunke, Ulrich |
| author_facet | Bunke, Ulrich |
| contents | We introduce the concepts of branched coarse coverings and transfers between coarse homology theories along them. We show that various versions of coarse $K$-homology theories admit the additional structure of transfers. We show versions of Atiyah's $L^{2}$-index theorem in coarse homotopy theory and apply them to give a new argument for the corresponding step in Higson's counterexample to the coarse Baum-Connes conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Branched coarse coverings and transfer maps Bunke, Ulrich Algebraic Topology K-Theory and Homology Operator Algebras We introduce the concepts of branched coarse coverings and transfers between coarse homology theories along them. We show that various versions of coarse $K$-homology theories admit the additional structure of transfers. We show versions of Atiyah's $L^{2}$-index theorem in coarse homotopy theory and apply them to give a new argument for the corresponding step in Higson's counterexample to the coarse Baum-Connes conjecture. |
| title | Branched coarse coverings and transfer maps |
| topic | Algebraic Topology K-Theory and Homology Operator Algebras |
| url | https://arxiv.org/abs/2502.01497 |