普遍二面体quandle中的Hurwitz等价性
几何拓扑
2026-03-20 v2
摘要
我们研究了 束群对普遍二面体quandle 倍笛卡尔积上的Hurwitz作用。我们引入了三个可计算的不变量并证明它们在该作用作用下给出轨道的完整分类。作为结果，我们描述了一个显式的完整轨道代表系统。我们进一步获得了对应Hurwitz作用的纯 束群、虚拟 束群和虚拟纯 束群的类似分类。
关键词
引用
@article{arxiv.2410.11599,
title = {Hurwitz equivalence in the universal dihedral quandle},
author = {Takuji Nakamura and Yasutaka Nakanishi and Shin Satoh and Kodai Wada},
journal= {arXiv preprint arXiv:2410.11599},
year = {2026}
}
备注
22 pages. The original manuscript has been split into two separate papers. This version (v2) contains the first part; the second part will appear as a separate submission