强可逆结的等价解纹结数
几何拓扑
2025-02-14 v2
摘要
我们研究了强可逆结的对称性交叉改变操作。我们的主要定理表明，最自然的等价解纹结数概念在进行连和运算时不可加，这与长期以来的猜想相反，即解纹结数是可加的。
引用
@article{arxiv.2412.09797,
title = {Equivariant unknotting numbers of strongly invertible knots},
author = {Keegan Boyle and Wenzhao Chen},
journal= {arXiv preprint arXiv:2412.09797},
year = {2025}
}
备注
Added a computation of the total equivariant unknotting numbers for torus knots. We show that a minimal length unknotting sequence can be made equivariant