Dold indices and symmetric powers
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912280501813248 |
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| author | Crabb, M. C. |
| author_facet | Crabb, M. C. |
| contents | Results of Macdonald and Dold from the 1960s and '70s expressing the Lefschetz numbers of symmetric powers of a self-map of a compact ENR in terms of the Lefschetz numbers of iterates of the map are extended using the notion of a Lefschetz-polynomial functor. Configuration spaces and Borsuk-Ulam symmetric products, as well as symmetric powers, are treated as examples of the general method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14039 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dold indices and symmetric powers Crabb, M. C. Algebraic Topology 54H25, 55M20, 55R80, 55S15 Results of Macdonald and Dold from the 1960s and '70s expressing the Lefschetz numbers of symmetric powers of a self-map of a compact ENR in terms of the Lefschetz numbers of iterates of the map are extended using the notion of a Lefschetz-polynomial functor. Configuration spaces and Borsuk-Ulam symmetric products, as well as symmetric powers, are treated as examples of the general method. |
| title | Dold indices and symmetric powers |
| topic | Algebraic Topology 54H25, 55M20, 55R80, 55S15 |
| url | https://arxiv.org/abs/2503.14039 |