Characterizing slopes for 52$5_2$

Author:

Baldwin John A.1ORCID,Sivek Steven2ORCID

Affiliation:

1. Department of Mathematics Boston College Chestnut Hill Massachusetts USA

2. Department of Mathematics Imperial College London London UK

Abstract

AbstractWe prove that all rational slopes are characterizing for the knot , except possibly for positive integers. Along the way, we classify the Dehn surgeries on knots in that produce the Brieskorn sphere , and we study knots on which large integral surgeries are almost L‐spaces.

Funder

National Science Foundation

Publisher

Wiley

Reference36 articles.

1. Knots with infinitely many non-characterizing slopes

2. An exotic 4-manifold

3. Noncharacterizing slopes for hyperbolic knots

4. Framed instanton homology and concordance

5. J. A.BaldwinandS.Sivek Floer homology and non‐fibered knot detection arXiv:2208.03307 2022.

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