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arxiv: math/0208039 · v2 · pith:VE5H6IBFnew · submitted 2002-08-05 · 🧮 math.GT

What is a virtual link?

classification 🧮 math.GT
keywords linkvirtualadmitarisingauthorsbecausecompactcomplement
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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 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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