English

Berge duals and universally tight contact structures

Geometric Topology 2014-11-14 v1 Symplectic Geometry

Abstract

Dehn surgery on a knot determines a dual knot in the surgered manifold, the core of the filling torus. We consider duals of knots in S3S^3 that have a lens space surgery. Each dual supports a contact structure. We show that if a universally tight contact structure is supported, then the dual is in the same homology class as the dual of a torus knot.

Keywords

Cite

@article{arxiv.1411.3711,
  title  = {Berge duals and universally tight contact structures},
  author = {Christopher R. Cornwell},
  journal= {arXiv preprint arXiv:1411.3711},
  year   = {2014}
}
R2 v1 2026-06-22T06:58:19.340Z