Virtual singular braids and links

Carmen Caprau; Andrew de la Pena; Sarah McGahan

doi:10.1007/s00229-016-0835-1

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arXiv · 1504.01086

Virtual singular braids and links

Carmen Caprau·Andrew de la Pena·Sarah McGahan

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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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Carmen Caprau, Andrew de la Pena, Sarah McGahan. 2016-06-14. Virtual singular braids and links. https://doi.org/10.1007/s00229-016-0835-1

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