Geodesic
What is a virtual link?
Kuperberg, Greg1
1Department of Mathematics, University of California, Davis, CA 95616, USA
Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 587-591
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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 ⊂ S × I in a thickened, compact, oriented surface S such that the link complement (S × I) ∖ L has no essential vertical cylinder.

DOI : 10.2140/agt.2003.3.587
Keywords: virtual link, tetravalent graph, stable equivalence

Kuperberg, Greg  1

1 Department of Mathematics, University of California, Davis, CA 95616, USA 
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Kuperberg, Greg. What is a virtual link?. Algebraic and Geometric Topology, Tome 3 (2003) no. 1, pp. 587-591. doi: 10.2140/agt.2003.3.587

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