Self-dual Maps III: projective links
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929194705879040 |
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| author | Montejano, L. Alfonsin, J. Ramirez Rasskin, I. |
| author_facet | Montejano, L. Alfonsin, J. Ramirez Rasskin, I. |
| contents | In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in $RP^3$. This characterization is closely related to the notions of antipodally self-dual and antipodally symmetric maps. We also discuss the notion of symmetric cycle, an interesting issue arising in projective links leading us to an easy condition to prevent a projective link to be alternating. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04053 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Self-dual Maps III: projective links Montejano, L. Alfonsin, J. Ramirez Rasskin, I. Geometric Topology Combinatorics 57M15, 57K10 In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in $RP^3$. This characterization is closely related to the notions of antipodally self-dual and antipodally symmetric maps. We also discuss the notion of symmetric cycle, an interesting issue arising in projective links leading us to an easy condition to prevent a projective link to be alternating. |
| title | Self-dual Maps III: projective links |
| topic | Geometric Topology Combinatorics 57M15, 57K10 |
| url | https://arxiv.org/abs/2210.04053 |