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Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant

Published 3 Jun 2025 in math.GT | (2506.02682v1)

Abstract: We study cosmetic surgeries on a knot in a homology sphere. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredient is the rational surgery formula of the Casson--Walker invariant for 2-component links in the 3-sphere.

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Authors (2)

  1. Kazuhiro Ichihara 
  2. In Dae Jong 

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