Abstract
The -move for classical braids extends naturally to trivalent braids. We follow the -move approach to the Markov theorem to prove a one-move Markov-type theorem for trivalent braids. We also reformulate this -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.
Citation
Carmen Caprau. Gabriel Coloma. Marguerite Davis. "The $L$-move and Markov theorems for trivalent braids." Involve 13 (1) 21 - 50, 2020. https://doi.org/10.2140/involve.2020.13.21
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