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What is a virtual link?

  • Kuperberg G
Algebraic & Geometric Topology (2003) 3(1) 587-591
DOI: 10.2140/agt.2003.3.587
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Abstract

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.

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Kuperberg, G. (2003). What is a virtual link? Algebraic & Geometric Topology, 3(1), 587–591. https://doi.org/10.2140/agt.2003.3.587

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