Virtual singular braids and links
Geometric Topology
2021-12-16 v3
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.
Keywords
Cite
@article{arxiv.1504.01086,
title = {Virtual singular braids and links},
author = {Carmen Caprau and Andrew de la Pena and Sarah McGahan},
journal= {arXiv preprint arXiv:1504.01086},
year = {2021}
}
Comments
27 pages, 29 figures; this extends work by L. Kauffman and S. Lambropoulou from virtual braids to virtual singular braids; v.3 is the published version of the paper. in Manuscripta Mathematica, March 2016