On Legendrian Surgeries
Abstract
Description
We use the Ozsváth-Szabó 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 $-Σ(2,3,6n-1)$.
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
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