Symplectic fillings, contact surgeries, and Lagrangian disks

2017/12/20 by Conway, James, Etnyre, John B., Tosun, Bülent · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1712.07287

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.

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• Regular Lagrangians in Lefschetz fibrations

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