Alexander- and Markov-type theorems for virtual trivalent braids
arXiv:1804.09919 · doi:10.1142/S0218216519500032
Abstract
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.
30 pages, many figures; this version of the paper includes suggestions from referee