Trisections of the doubles of some Mazur type 4-manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911856640131072 |
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| author | Isoshima, Tsukasa |
| author_facet | Isoshima, Tsukasa |
| contents | We show that certain two kinds of trisection diagrams of the doubles of the Mazur type 4-manifolds introduced by Akbulut and Kirby are standard. One is constructed by doubling a certain relative trisection diagram of the Mazur type. The other is constructed by using an algorithm taking Kirby diagrams to trisection diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trisections of the doubles of some Mazur type 4-manifolds Isoshima, Tsukasa Geometric Topology We show that certain two kinds of trisection diagrams of the doubles of the Mazur type 4-manifolds introduced by Akbulut and Kirby are standard. One is constructed by doubling a certain relative trisection diagram of the Mazur type. The other is constructed by using an algorithm taking Kirby diagrams to trisection diagrams. |
| title | Trisections of the doubles of some Mazur type 4-manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2403.17356 |