Aiello, Valeriano (2020). On the Alexander theorem for the oriented Thompson group \overarrow F. Algebraic and geometric topology, 20(1), pp. 429-438. Geometry & Topology Publications 10.2140/agt.2020.20.429
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In [10] and [12] Vaughan Jones introduced a construction which yields oriented knots and links from elements of the oriented Thompson group F. In this paper 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 L, there exists an element g in F whose closure L(g) is L.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Aiello, Valeriano |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1472-2747 |
Publisher: |
Geometry & Topology Publications |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
09 Feb 2021 13:23 |
Last Modified: |
05 Dec 2022 15:45 |
Publisher DOI: |
10.2140/agt.2020.20.429 |
ArXiv ID: |
1811.08323 |
BORIS DOI: |
10.48350/151256 |
URI: |
https://boris.unibe.ch/id/eprint/151256 |
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