Exotic 4-manifolds with small trisection genus
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915292095971328 |
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| author | Takahashi, Natsuya |
| author_facet | Takahashi, Natsuya |
| contents | We show that there exists an exotic pair of $4$-manifolds with boundary whose trisection genera are $4$. We also construct genus-$3$ relative trisections for an infinite family of contractible $4$-manifolds introduced by Akbulut and Kirby. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00482 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exotic 4-manifolds with small trisection genus Takahashi, Natsuya Geometric Topology 57K40, 57R55, 57R65 We show that there exists an exotic pair of $4$-manifolds with boundary whose trisection genera are $4$. We also construct genus-$3$ relative trisections for an infinite family of contractible $4$-manifolds introduced by Akbulut and Kirby. |
| title | Exotic 4-manifolds with small trisection genus |
| topic | Geometric Topology 57K40, 57R55, 57R65 |
| url | https://arxiv.org/abs/2308.00482 |