English

Non-characterizing slopes for more 3-manifolds

Geometric Topology 2025-10-08 v1

Abstract

For any homotopy class h in any compact orientable 3-manifold M which is closed or has exclusively torus boundary components, we produce infinitely many pairs of distinct knots representing h with orientation-preserving homeomorphic 0-surgeries.

Keywords

Cite

@article{arxiv.2510.05412,
  title  = {Non-characterizing slopes for more 3-manifolds},
  author = {Matthew Elpers},
  journal= {arXiv preprint arXiv:2510.05412},
  year   = {2025}
}

Comments

8 pages, 3 figures

R2 v1 2026-07-01T06:20:15.331Z