On Legendrian Surgeries

Hao Wu

On Legendrian Surgeries

Geometric Topology 2007-05-23 v7 Symplectic Geometry

Authors: Hao Wu

Abstract

We use the Ozsv\'ath-Szab\'o contact invariants to distinguish between tight contact structures obtained by Legendrian surgeries on stabilized Legendrian links in tight contact 3-manifolds. We also discuss the implication of our result on the tight contact structures on the Brieskon homology spheres $-\Sigma(2,3,6n-1)$ .

Keywords

legendrian knot theory contact geometry

Cite

@article{arxiv.math/0501074,
  title  = {On Legendrian Surgeries},
  author = {Hao Wu},
  journal= {arXiv preprint arXiv:math/0501074},
  year   = {2007}
}

Comments

18 pages, 1 figure. Seventh version: deleted a citation of a wrong result by Jin-Hong Kim; Sixth version: added detailed proofs for Lemmas 3.4 and 4.2, corrected mistakes and typos

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