Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914788965089280 |
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| author | Nagase, Teruo Shima, Akiko |
| author_facet | Nagase, Teruo Shima, Akiko |
| contents | Charts are oriented labeled graphs in a disk. Any simple surface braid (2-dimensional braid) can be described by using a chart. Also, a chart represents an oriented closed surface embedded in 4-space. In this paper, we investigate embedded surfaces in 4-space by using charts. In this paper, we shall show that there is no minimal chart with exactly seven white vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices Nagase, Teruo Shima, Akiko Geometric Topology 57K45, 05C10, 57M15 Charts are oriented labeled graphs in a disk. Any simple surface braid (2-dimensional braid) can be described by using a chart. Also, a chart represents an oriented closed surface embedded in 4-space. In this paper, we investigate embedded surfaces in 4-space by using charts. In this paper, we shall show that there is no minimal chart with exactly seven white vertices. |
| title | Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices |
| topic | Geometric Topology 57K45, 05C10, 57M15 |
| url | https://arxiv.org/abs/2405.05262 |