Non-diffeomorphic minimal genus relative trisections of the same 4-manifold
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866914824821145600 |
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| author | Takahashi, Natsuya |
| author_facet | Takahashi, Natsuya |
| contents | We show the existence of a $4$-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same $(g,k;p,b)$-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed $4$-manifold from a relative trisection diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-diffeomorphic minimal genus relative trisections of the same 4-manifold Takahashi, Natsuya Geometric Topology 57K40, 57R65 We show the existence of a $4$-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same $(g,k;p,b)$-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed $4$-manifold from a relative trisection diagram. |
| title | Non-diffeomorphic minimal genus relative trisections of the same 4-manifold |
| topic | Geometric Topology 57K40, 57R65 |
| url | https://arxiv.org/abs/2406.03113 |