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Nonslice linear
combinations of iterated torus knots
Anthony Conway, Min Hoon Kim and Wojciech Politarczyk |
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Algebraic & Geometric Topology 23 (2023) 765–802
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Abstract |
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In 1976, Rudolph asked whether algebraic knots are linearly independent in the knot concordance group. We use twisted Blanchfield pairings to answer this question in the affirmative for new large families of algebraic knots. |
Keywords
knot, concordance, algebraic knot, iterated torus knot,
Casson–Gordon invariants, twisted Blanchfield form
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Mathematical Subject Classification
Primary: 57K10
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References |
Publication
Received: 29 November 2020
Revised: 13 August 2021
Accepted: 18 September 2021
Published: 9 May 2023
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Authors |
| Anthony Conway | |
| Max-Planck-Institut für
Mathematik Bonn Germany |
Massachusetts Institute of
Technology Cambridge, MA United States |
| Min Hoon Kim | |
| Department of Mathematics
Education Kyungpook National University Daegu South Korea |
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| Wojciech Politarczyk | |
| Institute of Mathematics University of Warsaw Warszawa Poland |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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