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

Published online by Cambridge University Press:  01 July 2008

VITALIY KURLIN
VITALIY KURLIN*
Affiliation:
Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK.
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 129 - 140
Copyright
Copyright © Cambridge Philosophical Society 2008

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