横截链环的 Markov 定理
几何拓扑
2024-12-04 v2
摘要
本文证明：两个辫子表示横截同痕的链环，当且仅当其中一个辫子可通过辫群中的共轭、正向 Markov 变换及其逆变换化为另一个辫子。
关键词
引用
@article{arxiv.math/0112207,
title = {Markov theorem for transversal links},
author = {S. Yu. Orevkov and V. V. Shevchishin},
journal= {arXiv preprint arXiv:math/0112207},
year = {2024}
}
备注
AMS-TeX, 12 pages with 10 eps-figures. In the revised version we refine the exposition and add an appendix with discussion about a possible generalization of Markov theorem to Legendrian links