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Slopes and concordance
of links
Alex Degtyarev, Vincent Florens and Ana G Lecuona |
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Algebraic & Geometric Topology 24 (2024) 1101–1120
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Abstract |
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The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of the signature of the splice. It appeared to be closely related to several classical invariants, such as the Conway potential function or the Kojima –function (defined for two-components links). We prove that the slope is invariant under colored concordance of links. Besides, we present a formula to compute the slope in terms of –complexes and generalized Seifert forms. |
Keywords
concordance, links, $C$–complexes, slope
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Mathematical Subject Classification
Primary: 57K10, 57K14, 57N70
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References |
Publication
Received: 20 February 2022
Revised: 18 September 2022
Accepted: 4 October 2022
Published: 12 April 2024
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Authors |
| Alex Degtyarev | |
| Department of Mathematics Bilkent University Ankara Turkey |
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| Vincent Florens | |
| Labaratoire de Mathématiques et
leurs Applications Université de Pau et des Pays de l’Adour Pau France |
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| Ana G Lecuona | |
| Aix Marseille Université, CNRS,
Centrale Marseille Institut de Mathématiques de Marseille Marseille France |
School of Mathematics and
Statistics University of Glasgow Glasgow United Kingdom |
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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