On virtual chirality of 3-manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915263222382592 |
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| author | Sun, Hongbin Wang, Zhongzi |
| author_facet | Sun, Hongbin Wang, Zhongzi |
| contents | We prove that if a prime 3-manifold M is not finitely covered by the 3-sphere or a product manifold, then M is virtually chiral, i.e. it has a finite cover that does not admit an orientation reversing self-homeomorphism. In general if a 3-manifold contains a virtually chiral prime summand, then it is virtually chiral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On virtual chirality of 3-manifolds Sun, Hongbin Wang, Zhongzi Geometric Topology 55M25, 57M10, 57K32 We prove that if a prime 3-manifold M is not finitely covered by the 3-sphere or a product manifold, then M is virtually chiral, i.e. it has a finite cover that does not admit an orientation reversing self-homeomorphism. In general if a 3-manifold contains a virtually chiral prime summand, then it is virtually chiral. |
| title | On virtual chirality of 3-manifolds |
| topic | Geometric Topology 55M25, 57M10, 57K32 |
| url | https://arxiv.org/abs/2504.19805 |