English

Knots with Prism Manifold Surgeries

Geometric Topology 2019-09-06 v1 Algebraic Topology

Abstract

Ballinger et al. have determined the list of all prism manifolds that are possibly realizable by Dehn surgeries on knots in S3S^3. In this paper, we explicitly find braid words of primitive/Seifert-fibered knots on which surface slope surgeries yield all the prism manifolds listed above. This completes the solution to the prism manifold realization problem.

Keywords

Cite

@article{arxiv.1909.02252,
  title  = {Knots with Prism Manifold Surgeries},
  author = {Zhengyuan Shang},
  journal= {arXiv preprint arXiv:1909.02252},
  year   = {2019}
}

Comments

14 pages, 3 figures

R2 v1 2026-06-23T11:06:26.666Z