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Linear independence of
rationally slice knots
Jennifer Hom, Sungkyung Kang, JungHwan Park and Matthew Stoffregen |
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Geometry & Topology 26 (2022) 3143–3172
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Abstract |
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A knot in is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two. |
Keywords
rationally slice knot, linear independence, involutive knot
Floer homology
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Mathematical Subject Classification
Primary: 57K10, 57K18
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References |
Publication
Received: 7 December 2020
Revised: 28 July 2021
Accepted: 1 September 2021
Published: 23 January 2023
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Cameron Gordon
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Authors |
| Jennifer Hom | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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| Sungkyung Kang | |
| Sungkyung Kang Center For Geometry and Physics Institute of Basic Science Pohang South Korea |
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| JungHwan Park | |
| Department of Mathematical
Sciences KAIST Daejeon South Korea |
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| Matthew Stoffregen | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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