Symplectic fillings, contact surgeries, and Lagrangian disks
Geometric Topology
2019-01-28 v2 Symplectic Geometry
Abstract
This paper completely answers the question of when contact (r)-surgery on a Legendrian knot in the standard contact structure on the 3-sphere yields a symplectically fillable contact manifold for r in (0,1]. We also give obstructions for other positive r and investigate Lagrangian fillings of Legendrian knots.
Keywords
Cite
@article{arxiv.1712.07287,
title = {Symplectic fillings, contact surgeries, and Lagrangian disks},
author = {James Conway and John B. Etnyre and Bülent Tosun},
journal= {arXiv preprint arXiv:1712.07287},
year = {2019}
}
Comments
23 pages, 8 figures. Improved exposition and changed claim relating decomposable and regular Lagrangians. This version to appear in IMRN