Filamentations for Virtual Links

William J. Schellhorn

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Filamentations for Virtual Links

William J. Schellhorn

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Abstract

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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William J. Schellhorn. 2006-04-04. Filamentations for Virtual Links. https://arxiv.org/abs/math/0402162

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