Nielsen equivalence and multisections of 4-manifolds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917766844383232 |
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| author | Isoshima, Tsukasa Ogawa, Masaki |
| author_facet | Isoshima, Tsukasa Ogawa, Masaki |
| contents | Islambouli showed that there exist infinitely many 4-manifolds admitting non-isotopic trisections using a Nielsen equivalence, which can be used to construct non-isotopic Heegaard splittings. In this paper, we show that there exist infinitely many 4-manifolds admitting non-isotopic bisections in the same way. Moreover, we show that there exist infinitely many 4-manifolds admitting non-isotopic 4-sections by considering the doubles of the bisections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nielsen equivalence and multisections of 4-manifolds Isoshima, Tsukasa Ogawa, Masaki Geometric Topology 57Q37, 57K40 Islambouli showed that there exist infinitely many 4-manifolds admitting non-isotopic trisections using a Nielsen equivalence, which can be used to construct non-isotopic Heegaard splittings. In this paper, we show that there exist infinitely many 4-manifolds admitting non-isotopic bisections in the same way. Moreover, we show that there exist infinitely many 4-manifolds admitting non-isotopic 4-sections by considering the doubles of the bisections. |
| title | Nielsen equivalence and multisections of 4-manifolds |
| topic | Geometric Topology 57Q37, 57K40 |
| url | https://arxiv.org/abs/2401.15822 |