RECOGNIZING TRACE GRAPHS OF CLOSED BRAIDS


Fiedler, Thomas and Kurlin, Vitaliy ORCID: 0000-0001-5328-5351 (2010) RECOGNIZING TRACE GRAPHS OF CLOSED BRAIDS. OSAKA JOURNAL OF MATHEMATICS, 47 (4). pp. 885-909.

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Abstract

To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetraherdal moves. For closed braids with a fixed number of strands, we recognize trace graphs up to isotopy and trihedral moves in polynomial time with respect to the braid length.

Item Type: Article
Additional Information: 20 pages, 15 figures
Uncontrolled Keywords: math.GT, math.GT, math.AT, 57M25
Depositing User: Symplectic Admin
Date Deposited: 14 Dec 2016 15:30
Last Modified: 19 Jan 2023 07:24
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3004871
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