Cosmetic surgeries on knots in homology spheres and the Casson--Walker invariant
arXiv:2506.02682
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.
11 pages