A non-torus positive 2-bridge knot does not admit chirally cosmetic surgeries

Abstract

We prove that a positive two-bridge knot other than the $(2,k)$ torus knot does not admit chirally cosmetic surgeries, a pair of Dehn surgeries along distinct slopes yielding orientation-reversingly homeomorphic 3-manifolds.

18 pages, 1 figure

References in corpus (1)

• Alternating odd pretzel knots and chirally cosmetic surgeries