Markov theorem for transversal links
Geometric Topology
2024-12-04 v2
Abstract
It is shown that two braids represent transversally isotopic links if and only if one can pass from one braid to another by conjugations in braid groups, positive Markov moves, and their inverses.
Keywords
Cite
@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}
}
Comments
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