Virtual singular braids and links
arXiv:1504.01086 · doi:10.1007/s00229-016-0835-1
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.
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