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Virtual singular braids and links

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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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Authors and Affiliations

  1. Department of Mathematics, California State University, Fresno, CA, 93740, USA

    Carmen Caprau & Sarah McGahan

  2. Department of Mathematics, North Dakota State University, Fargo, ND, 58108, USA

    Andrew de la Pena

Authors
  1. Carmen Caprau
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  2. Andrew de la Pena
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  3. Sarah McGahan
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Correspondence to Carmen Caprau.

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Caprau, C., de la Pena, A. & McGahan, S. Virtual singular braids and links. manuscripta math. 151, 147–175 (2016). https://doi.org/10.1007/s00229-016-0835-1

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  • DOI: https://doi.org/10.1007/s00229-016-0835-1

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