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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Gauss-paragraphs-virtual-links.pdf - Author Accepted Manuscript Download (8MB) |
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 |
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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 |