Contact (+1)-surgeries along Legendrian Two-component Links
Geometric Topology
2019-03-13 v3 Symplectic Geometry
Abstract
In this paper, we study contact surgeries along Legendrian links in the standard contact 3-sphere. On one hand, we use algebraic methods to prove the vanishing of the contact Ozsv\'{a}th-Szab\'{o} invariant for contact -surgery along certain Legendrian two-component links. The main tool is a link surgery formula for Heegaard Floer homology developed by Manolescu and Ozsv\'{a}th. On the other hand, we use contact-geometric argument to show the overtwistedness of the contact 3-manifolds obtained by contact -surgeries along Legendrian two-component links whose two components are linked in some special configurations.
Keywords
Cite
@article{arxiv.1801.02180,
title = {Contact (+1)-surgeries along Legendrian Two-component Links},
author = {Fan Ding and Youlin Li and Zhongtao Wu},
journal= {arXiv preprint arXiv:1801.02180},
year = {2019}
}
Comments
25 pages, 15 figures. Final version, accepted for publication in Quantum Topology