2018/07/21 by Carmen Caprau, Gabriel Coloma, Marguerite Davis · 1 citation
Mathematics · #math.GT
paper · pdf · doi:10.2140/involve.2020.13.21
published as Involve 13 (2020) 21-50 · 27 pages, lots of figures
arxiv created 2018/07/21 · arxiv updated 2020/02/05
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.