2009/01/15 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Mathematics · #57M25 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #math.CO #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.0901.2214
13 pages, 11 Figures
arxiv created 2009/02/23 · arxiv updated 2009/12/01
We prove that for some knot-like objects one can easily recognize non-equivalence w.r.t. all Reidemeister moves by studying some equivalence classes modulo only 2nd Reidemeister moves. There are applications to virtual knots, graph-links and looped graphs.