English

Legendrian rational unknots in lens spaces

Symplectic Geometry 2018-03-22 v1 Geometric Topology

Abstract

We classify Legendrian rational unknots with tight complements in the lens spaces L(p,1) up to coarse equivalence. As an example of the general case, this classification is also worked out for L(5,2). The knots are described explicitly in a contact surgery diagram of the corresponding lens space.

Keywords

Cite

@article{arxiv.1302.3792,
  title  = {Legendrian rational unknots in lens spaces},
  author = {Hansjörg Geiges and Sinem Onaran},
  journal= {arXiv preprint arXiv:1302.3792},
  year   = {2018}
}

Comments

25 pages, 12 figures

R2 v1 2026-06-21T23:26:59.175Z