Non-Trivial Realizations of Virtual Link Diagrams

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A realization of a virtual link diagram is obtained by choosing over/under markings for each virtual crossing. Any realization can also be obtained from some representation of the virtual link. (A representation of a virtual link is a link diagram on an oriented 2-dimensional surface.) We prove that if a minimal genus representation meets certain criteria then there is a minimal genus representation resulting in a knotted realization.
21 pages, 29 figures

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Geometric Topology, Algebraic Topology, 57m99

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http://salesiana.dossiersoluciones.com/handle/123456789/74286

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502477
 http://arxiv.org/abs/math/0502477

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arXiv