Classification of genus-two surfaces in $S^3$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911285301477376 |
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| author | Baroni, Filippo |
| author_facet | Baroni, Filippo |
| contents | We describe an algorithm to decide whether two genus-two surfaces embedded in the 3-sphere are isotopic or not. The algorithm employs well-known techniques in 3-manifolds topology, as well as a new algorithmic solution to a problem on free groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of genus-two surfaces in $S^3$ Baroni, Filippo Geometric Topology 57-08, 57K30 We describe an algorithm to decide whether two genus-two surfaces embedded in the 3-sphere are isotopic or not. The algorithm employs well-known techniques in 3-manifolds topology, as well as a new algorithmic solution to a problem on free groups. |
| title | Classification of genus-two surfaces in $S^3$ |
| topic | Geometric Topology 57-08, 57K30 |
| url | https://arxiv.org/abs/2309.05387 |