Symplectic fillings, contact surgeries, and Lagrangian disks

Autor:	Conway, James, Etnyre, John B., Tosun, Bülent
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 pages, 8 figures. Improved exposition and changed claim relating decomposable and regular Lagrangians. This version to appear in IMRN
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.07287 Zobrazit plný text záznamu View this record from Arxiv