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On the Alexander
theorem for the oriented Thompson group $\vec{F}$
Valeriano Aiello |
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Algebraic & Geometric Topology 20 (2020) 429–438
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Abstract |
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Recently, Vaughan Jones introduced a construction which yields oriented knots and links from elements of the oriented Thompson group . Here we prove, by analogy with Alexander’s classical theorem establishing that every knot or link can be represented as a closed braid, that, given an oriented knot/link , there exists an element in whose closure is . |
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Keywords
Thompson group, oriented Thompson group, knots, oriented
knots, oriented links, Alexander theorem, binary trees
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Mathematical Subject Classification 2010
Primary: 57M25
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References |
Publication
Received: 20 November 2018
Revised: 28 March 2019
Accepted: 13 April 2019
Published: 23 February 2020
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Authors |
| Valeriano Aiello | |
| Section de Mathématiques Université de Genève 2–4 rue du Lièvre Case Postale 64 1211 Genève 4 Switzerland |
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