Gauss paragraphs of classical links and a characterization of virtual link groups

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A classical link in 3-space can be represented by a Gauss paragraph encoding a link diagram in a combinatorial way. A Gauss paragraph may code not a classical link diagram, but a diagram with virtual crossings. We present a criterion and a linear algorithm detecting whether a Gauss paragraph encodes a classical link. We describe Wirtinger presentations realizable by virtual link groups.
12 pages, 12 figures, v2: new results have been added

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Geometric Topology, Group Theory, 57M25; 20F05

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http://salesiana.dossiersoluciones.com/handle/123456789/124092

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610929
 http://arxiv.org/abs/math/0610929

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arXiv