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Characterizing slopes for 5₂

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Title: Characterizing slopes for 5₂
Authors: Baldwin, JA
Sivek, S
Item Type: Journal Article
Abstract: We prove that all rational slopes are characterizing for the knot 5₂ , except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in S³ that produce the Brieskorn sphere Σ (2, 3, 11) , and we study knots on which large integral surgeries are almost L-spaces.
Issue Date: 6-Jun-2024
Date of Acceptance: 9-May-2024
URI: http://hdl.handle.net/10044/1/112406
DOI: 10.1112/jlms.12951
ISSN: 0024-6107
Publisher: Wiley
Journal / Book Title: Journal of London Mathematical Society
Volume: 109
Issue: 6
Copyright Statement: © 2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
Publication Status: Published
Article Number: e12951
Appears in Collections:Pure Mathematics
Mathematics