Alexander- and Markov-type theorems for virtual trivalent braids

17 Dec 2018 · Caprau Carmen, Dirdak Abigayle, Post Rita, Sawyer Erica ·

We prove Alexander- and Markov-type theorems for virtual spatial trivalent graphs and virtual trivalent braids. We provide two versions for the Markov-type theorem: one uses an algebraic approach similar to the case of classical braids and the other one is based on L-moves.