Presentations for the monoids of singular braids on closed surfaces

2001/12/31 by Juan Gonzalez-Meneses, Gonzalez-Meneses, Juan
Mathematics · #20F05 #20F36 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20F05 #msc:20F36

paper · pdf · doi:10.48550/arxiv.math/0112313

6 pages, 8 figures. To appear in Communications in Algebra

arxiv created 2001/12/31 · arxiv updated 2009/11/30

Abstract

We give presentations, in terms of generators and relations, for the monoids of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the presentations given by Birman for the monoids of Singular Artin braids.

Related

• About presentations of braid groups and their generalizations
• Birman's conjecture for singular braids on closed surfaces
• On the singular braid monoid of an orientable surface
• New presentations of surface braid groups
• Algebraic, combinatorial and topological properties of singular virtual\n braid monoids