The L-move and markov theorems for trivalent braids
© 2020, Mathematical Sciences Publishers. All rights reserved. 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 theorem analogue for spatial trivalent graphs and trivalent braids.
Caprau, Carmen; Coloma, Gabriel; and Davis, Marguerite, "The L-move and markov theorems for trivalent braids" (2020). Faculty Articles Indexed in Scopus. 128.