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Purely cosmetic
surgeries and pretzel knots
András I. Stipsicz and Zoltán Szabó |
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Vol. 313 (2021), No. 1, 195–211
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DOI: 10.2140/pjm.2021.313.195
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Abstract |
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We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e., Dehn surgeries with different slopes along a (nontrivial) pretzel knot provide different oriented three-manifolds. |
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Keywords
Cosmetic surgery, pretzel knots, thickness
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Mathematical Subject Classification
Primary: 57M50
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Milestones
Received: 22 June 2020
Revised: 10 May 2021
Accepted: 12 June 2021
Published: 17 September 2021
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Authors |
| András I. Stipsicz | |
| Rényi Institute of Mathematics Budapest Hungary |
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| Zoltán Szabó | |
| Department of Mathematics Princeton University Princeton, NJ United States |
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