English

Non-loose torus knots in $S^1\times S^2$

Geometric Topology 2025-12-29 v1

Abstract

In this paper, we present a complete coarse classification of non-loose Legendrian and transverse torus knots in any contact structure on S1×S2S^1\times S^2.

Keywords

Cite

@article{arxiv.2512.21458,
  title  = {Non-loose torus knots in $S^1\times S^2$},
  author = {Jiaxin Huang and Youlin Li and Zaiting Xu},
  journal= {arXiv preprint arXiv:2512.21458},
  year   = {2025}
}

Comments

38 pages, 10 figures