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

• Autores: Vitaliy Kurlin
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 129-140
• Idioma: inglés
• DOI: 10.1017/s0305004108001151
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• Resumen

  • 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