Poincaré Complex Diagonals and the Bass trace Conjecture
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913769523773440 |
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| author | Klein, John R. Naef, Florian |
| author_facet | Klein, John R. Naef, Florian |
| contents | For a finitely dominated Poincaré duality space $M$, we show how the author's total obstruction to the existence of a Poincaré embedding of the diagonal map $M \to M \times M$ relates to the Reidemeister trace of the identity map of $M$.
We also show that if the dimension of $M$ is even and at least four, and if $π_1(M)$ is a finite direct product of cyclic groups of order two, then the diagonal map admits a Poincaré embedding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06289 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Poincaré Complex Diagonals and the Bass trace Conjecture Klein, John R. Naef, Florian Algebraic Topology Geometric Topology K-Theory and Homology Primary: 57P10, Secondary: 16E20, 13D03, 55P91 For a finitely dominated Poincaré duality space $M$, we show how the author's total obstruction to the existence of a Poincaré embedding of the diagonal map $M \to M \times M$ relates to the Reidemeister trace of the identity map of $M$. We also show that if the dimension of $M$ is even and at least four, and if $π_1(M)$ is a finite direct product of cyclic groups of order two, then the diagonal map admits a Poincaré embedding. |
| title | Poincaré Complex Diagonals and the Bass trace Conjecture |
| topic | Algebraic Topology Geometric Topology K-Theory and Homology Primary: 57P10, Secondary: 16E20, 13D03, 55P91 |
| url | https://arxiv.org/abs/2208.06289 |