Filamentations for Virtual Links

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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.
Withdrawn due to publication

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Geometric Topology, Combinatorics, 57M27 (Primary) 57M25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/99954

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402162
 http://arxiv.org/abs/math/0402162
 Schellhorn, William J., "Filamentations for Virtual Links", Journal of Knot Theory and Its Ramifications, Vol. 15, No. 3 (March 2006), pp. 327-338

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arXiv