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arxiv: 1804.09919 · v2 · pith:Q6N7UJZWnew · submitted 2018-04-26 · 🧮 math.GT

Alexander- and Markov-type theorems for virtual trivalent braids

classification 🧮 math.GT
keywords braidsmarkov-typetrivalentvirtualalexander-theoremsalgebraicapproach
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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.

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