On Legendrian Surgeries

Details On Legendrian Surgeries On Legendrian Surgeries

2005-01-05

arxiv.org/abs/math/0501074v7

Mathematics

Geometric Topology

18 pages, 1 figure. Seventh version: deleted a citation of a wrong result by Jin-Hong Kim; Sixth version: added detailed proof

Scientific paper

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
$-\Sigma(2,3,6n-1)$.

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