Quantitative PL bordism
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910030451703808 |
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| author | Manin, Fedor Tshishiku, Bena Weinberger, Shmuel |
| author_facet | Manin, Fedor Tshishiku, Bena Weinberger, Shmuel |
| contents | We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as well as various more exotic theories such as bordism of Witt spaces. In all these cases we show that a null-bordant cycle of bounded geometry and $V$ simplices has a filling of bounded geometry whose number of simplices is slightly superlinear in $V$. This bound is similar to that found in our previous work on smooth cobordism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16389 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantitative PL bordism Manin, Fedor Tshishiku, Bena Weinberger, Shmuel Geometric Topology Algebraic Topology Metric Geometry 57Q20, 53C23 We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as well as various more exotic theories such as bordism of Witt spaces. In all these cases we show that a null-bordant cycle of bounded geometry and $V$ simplices has a filling of bounded geometry whose number of simplices is slightly superlinear in $V$. This bound is similar to that found in our previous work on smooth cobordism. |
| title | Quantitative PL bordism |
| topic | Geometric Topology Algebraic Topology Metric Geometry 57Q20, 53C23 |
| url | https://arxiv.org/abs/2311.16389 |