Filamentations for Virtual Links

Details Filamentations for Virtual Links Filamentations for Virtual Links

2004-02-10

arxiv.org/abs/math/0402162v2

Schellhorn, William J., "Filamentations for Virtual Links", Journal of Knot Theory and Its Ramifications, Vol. 15, No. 3 (Marc

Mathematics

Geometric Topology

Withdrawn due to publication

Scientific paper

In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non-trivial. A virtual knot diagram is non-classical if its related flat virtual knot diagram is non-trivial. Hence filamentations can be used to detect non-classical virtual knots. We extend these filamentation techniques to virtual links with more than one component. We also give examples of virtual links that they can detect as non-classical.

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