中文

Secant-quandle: an invariant of braids and knots

几何拓扑 2026-03-27 v1 代数拓扑

摘要

我们构造了一个关于 braids 和 knots 的新型不变量,secant-quandle(SQ),其生成器为通用切线,关系为通用水平三分线,即 SQ=Γ<SMST,EM>SQ = \Gamma \left< \mathcal{S}_M\mid \mathcal{S}_T,\mathcal{E}_M \right>,其中 MM 为 braids 或 link。

关键词

引用

@article{arxiv.2603.25256,
  title  = {Secant-quandle: an invariant of braids and knots},
  author = {Yangzhou Liu and Seongjeong Kim and Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:2603.25256},
  year   = {2026}
}

备注

16 pages, 9 figures, Presented at H. Kauffman's Quantum Topology Conference