Abstract
The problem whether the purely cosmetic surgery conjecture holds for any knots is open. Using recent work of Hanselman, the conjecture was proved for any pretzel knots [A. I. Stipsicz and Z. Szabo, Purely cosmetic surgeries and pretzel knots (2020), arXiv:2006.06765]. In this paper, we prove the conjecture for any three strand pretzel knots in a way that does not depend on Heegaard Floer homology.
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