2002/08/31 by Greg Kuperberg · 3 citations
Mathematics · #math.GT #msc:57M25 #msc:57M27 #msc:57M15
paper · pdf · doi:10.2140/agt.2003.3.587
published as Algebr. Geom. Topol. 3 (2003) 587-591 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-20.abs.html
arxiv created 2003/06/24 · arxiv updated 2014/09/30
Several authors have recently studied virtual knots and links because they admit invariants arising from R-matrices. We prove that every virtual link is uniquely represented by a link L in S X I, a thickened, compact, oriented surface S, such that the link complement (S X I) - L has no essential vertical cylinder.