Groups of virtual and welded links

2012/04/14 by Bardakov, Valeriy G., Bellingeri, Paolo · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1204.3205

Abstract

We define new notions of groups of virtual and welded knots (or links) and we study their relations with other invariants, in particular the Kauffman group of a virtual knot.

Cited by

• U_q(\mathfrakgl(m|n)) bounds on the minimal genus of virtual links

Related

• Virtual, Welded, and Ribbon Links in Arbitrary Dimensions
• Braid presentation of virtual knots and welded knots
• Virtual Links in Arbitrary Dimensions
• Virtual Knot Groups
• Multi-Skein Invariants for Welded and Extended Welded Knots and Links