English

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

Geometric Topology 2026-02-11 v1

Abstract

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

Keywords

Cite

@article{arxiv.2311.02829,
  title  = {A non-torus positive 2-bridge knot does not admit chirally cosmetic surgeries},
  author = {Tetsuya Ito},
  journal= {arXiv preprint arXiv:2311.02829},
  year   = {2026}
}

Comments

18 pages, 1 figure