English

On contact surgery

Symplectic Geometry 2007-05-23 v1 Geometric Topology

Abstract

In this note we show that +1+1-contact surgery on distinct Legendrian knots frequently produces contactomorphic manifolds. We also give examples where this happens for 1-1-contact surgery. As an amusing corollary we find overtwisted contact structures that contain a large number of distinct Legendrian knots with the same classical invariants and tight complements.

Keywords

Cite

@article{arxiv.math/0612671,
  title  = {On contact surgery},
  author = {John B. Etnyre},
  journal= {arXiv preprint arXiv:math/0612671},
  year   = {2007}
}

Comments

8 pages, 2 figures