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$L$–space knots have no
essential Conway spheres
Tye Lidman, Allison H Moore and Claudius Zibrowius |
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Geometry & Topology 26 (2022) 2065–2102
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Abstract |
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We prove that –space knots do not have essential Conway spheres with the technology of peculiar modules, a Floer-theoretic invariant for tangles. |
Keywords
$L$–space knots, Conway spheres
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Mathematical Subject Classification
Primary: 57K18
Secondary: 57K30, 57R58
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References |
Publication
Received: 15 June 2020
Revised: 2 March 2021
Accepted: 19 June 2021
Published: 12 December 2022
Proposed: András I Stipsicz
Seconded: Peter Ozsváth, Ciprian Manolescu
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Authors |
| Tye Lidman | |
| Department of Mathematics North Carolina State University Raleigh, NC United States |
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| https://sites.google.com/ncsu.edu/tlid/home | |
| Allison H Moore | |
| Department of Mathematics and
Applied Mathematics Virginia Commonwealth University Richmond, VA United States |
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| https://people.vcu.edu/~moorea14/ | |
| Claudius Zibrowius | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| https://cbz20.raspberryip.com/ | |
