中文

On Legendrian Surgeries

几何拓扑 2007-05-23 v7 辛几何

摘要

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 Σ(2,3,6n1)-\Sigma(2,3,6n-1).

关键词

引用

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

备注

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