Kirby diagrams of 4-dimensional open books
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916792221302784 |
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| author | Hsueh, Chun-Sheng |
| author_facet | Hsueh, Chun-Sheng |
| contents | We provide an algorithm for constructing a Kirby diagram of a 4-dimensional open book given a Heegaard diagram of the page. As an application, we show that an open book constructed with arbitrary page and trivial monodromy is diffeomorphic to an open book constructed with a punctured handlebody as page and a composition of torus twists and sphere twists as monodromy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16942 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kirby diagrams of 4-dimensional open books Hsueh, Chun-Sheng Geometric Topology 57K40 (Primary), 57K45 (Secondary) We provide an algorithm for constructing a Kirby diagram of a 4-dimensional open book given a Heegaard diagram of the page. As an application, we show that an open book constructed with arbitrary page and trivial monodromy is diffeomorphic to an open book constructed with a punctured handlebody as page and a composition of torus twists and sphere twists as monodromy. |
| title | Kirby diagrams of 4-dimensional open books |
| topic | Geometric Topology 57K40 (Primary), 57K45 (Secondary) |
| url | https://arxiv.org/abs/2306.16942 |