English

Cosmetic surgery on satellite knots

Geometric Topology 2025-09-03 v2

Abstract

We show that if there exists a knot in S3S^3 that admits purely cosmetic surgeries, then there exists a hyperbolic one with this property.

Keywords

Cite

@article{arxiv.2411.13828,
  title  = {Cosmetic surgery on satellite knots},
  author = {Qiuyu Ren},
  journal= {arXiv preprint arXiv:2411.13828},
  year   = {2025}
}

Comments

6 pages, 1 figure; exposition improved, to appear in Bull. Lond. Math. Soc

R2 v1 2026-06-28T20:07:19.844Z