Abstract:We discuss various constraints for knots in S 3 to admit chirally cosmetic surgeries, derived from invariants of 3-manifolds, such as, the quantum SO(3)-invariant, the rank of the Heegaard Floer homology, and finite type invariants. We apply them to show that a large portion (roughly 75%) of knots which are neither amphicheiral nor (2, p)-torus knots with less than or equal to 10 crossings admits no chirally cosmetic surgeries.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.