Virtual singular braids and links

Published 5 Apr 2015 in math.GT | (1504.01086v3)

Abstract: Virtual singular braids are generalizations of singular braids and virtual braids. We define the virtual singular braid monoid via generators and relations, and prove Alexander- and Markov-type theorems for virtual singular links. We also show that the virtual singular braid monoid has another presentation with fewer generators.

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