Exceptional or half-integral chirally cosmetic surgeries

2024/03/11 by Ichihara, Kazuhiro, Saito, Toshio
#57K30 #57K35 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2403.06701

Abstract

A pair of Dehn surgeries on a knot is called chirally cosmetic if they yield orientation-reversingly homeomorphic 3-manifolds. In this paper, we consider exceptional or half-integral chirally cosmetic surgeries, and obtain several restrictions.

Related

• Chirally cosmetic surgeries and Casson invariants
• A non-torus positive 2-bridge knot does not admit chirally cosmetic surgeries
• Special alternating knots with sufficiently many twist regions have no chirally cosmetic surgeries
• Cosmetic surgeries on knots in S³
• Thurston norm and cosmetic surgeries