Mathematics > Geometric Topology
arXiv:2603.25256 (math)
[Submitted on 26 Mar 2026 (v1), last revised 12 Jun 2026 (this version, v2)]
Abstract: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., $SQ = \Gamma \left< \mathcal{S}_M\mid \mathcal{T}_M,\mathcal{E}_M \right>$, where $M$ is a braid or link.
Submission history
From: Yangzhou Liu [view email]
[v1]
Thu, 26 Mar 2026 10:00:26 UTC (711 KB)
[v2]
Fri, 12 Jun 2026 12:12:09 UTC (587 KB)
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