Secant-quandle: an invariant of braids and knots
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914424578637824 |
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| author | Liu, Yangzhou Kim, Seongjeong Manturov, Vassily Olegovich |
| author_facet | Liu, Yangzhou Kim, Seongjeong Manturov, Vassily Olegovich |
| contents | We construct a novel invariant of braids and knots, secant-quandle (SQ),with generic secants serving as generators and generic horizontal trisecants serving as relations, i.e., $SQ = Γ\left< \mathcal{S}_M\mid \mathcal{S}_T,\mathcal{E}_M \right>$, where $M$ is a braid or link. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25256 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Secant-quandle: an invariant of braids and knots Liu, Yangzhou Kim, Seongjeong Manturov, Vassily Olegovich Geometric Topology Algebraic Topology 57K12, 57M27, 20F36 We construct a novel invariant of braids and knots, secant-quandle (SQ),with generic secants serving as generators and generic horizontal trisecants serving as relations, i.e., $SQ = Γ\left< \mathcal{S}_M\mid \mathcal{S}_T,\mathcal{E}_M \right>$, where $M$ is a braid or link. |
| title | Secant-quandle: an invariant of braids and knots |
| topic | Geometric Topology Algebraic Topology 57K12, 57M27, 20F36 |
| url | https://arxiv.org/abs/2603.25256 |