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



Kurlin, Vitaliy ORCID: 0000-0001-5328-5351
(2008) Gauss paragraphs of classical links and a characterization of virtual link groups. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 145 (1). pp. 129-140.

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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.

Item Type: Article
Additional Information: 12 pages, 12 figures, v2: new results have been added
Uncontrolled Keywords: math.GT, math.GT, math.GR, 57M25; 20F05
Depositing User: Symplectic Admin
Date Deposited: 14 Dec 2016 15:46
Last Modified: 19 Jan 2023 07:24
DOI: 10.1017/S0305004108001151
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3004872