Octagon and tropical octagon yield braid invariants
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912136521842688 |
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| author | Manturov, Vassily Olegovich |
| author_facet | Manturov, Vassily Olegovich |
| contents | In the present paper, we construct an invariant of braids in the real projective plane which corresponds to an ``action'' of braids on certain graphs in $\R{}P^{2}$ with labels. This paper is a sequel of papers \cite{M},\cite{KM}. It demonstrates once more that solutions to the octagon relation in various forms give rise to invariants of braids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18991 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Octagon and tropical octagon yield braid invariants Manturov, Vassily Olegovich Geometric Topology 57M25, 57M27, 51A20, 05E14, 14N20, 51M15 In the present paper, we construct an invariant of braids in the real projective plane which corresponds to an ``action'' of braids on certain graphs in $\R{}P^{2}$ with labels. This paper is a sequel of papers \cite{M},\cite{KM}. It demonstrates once more that solutions to the octagon relation in various forms give rise to invariants of braids. |
| title | Octagon and tropical octagon yield braid invariants |
| topic | Geometric Topology 57M25, 57M27, 51A20, 05E14, 14N20, 51M15 |
| url | https://arxiv.org/abs/2411.18991 |