The L-move and Markov theorems for trivalent braids
Geometric Topology
2020-02-05 v1
Abstract
The L-move for classical braids extends naturally to trivalent braids. We follow the L-move approach to the Markov Theorem, to prove a one-move Markov-type theorem for trivalent braids. We also reformulate this L-Move Markov theorem and prove a more algebraic Markov-type theorem for trivalent braids. Along the way, we provide a proof of the Alexander's theorem analogue for spatial trivalent graphs and trivalent braids.
Cite
@article{arxiv.1807.08095,
title = {The L-move and Markov theorems for trivalent braids},
author = {Carmen Caprau and Gabriel Coloma and Marguerite Davis},
journal= {arXiv preprint arXiv:1807.08095},
year = {2020}
}
Comments
27 pages, lots of figures