English

What is a virtual link?

Geometric Topology 2014-10-01 v2

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.

Keywords

Cite

@article{arxiv.math/0208039,
  title  = {What is a virtual link?},
  author = {Greg Kuperberg},
  journal= {arXiv preprint arXiv:math/0208039},
  year   = {2014}
}

Comments

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-20.abs.html