2000/08/14 by Seiichi Kamada, Kamada, Seiichi · 2 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #math.GT #msc:57M25 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0008092
22 pages, 18 figures
arxiv created 2000/08/14 · arxiv updated 2009/11/30
The notion of a virtual knot introduced by L. Kauffman induces the notion of a virtual braid. It is closely related with a welded braid of R. Fenn, R. Rimanyi and C. Rourke. Alexander's and Markov's theorems for virtual knots and braids are proved. Similar results for welded knots and braids are also proved.