Symplectic fillings, contact surgeries, and Lagrangian disks

James Conway; John B. Etnyre; Bülent Tosun

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arXiv · 1712.07287

Symplectic fillings, contact surgeries, and Lagrangian disks

James Conway·John B. Etnyre·Bülent Tosun

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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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James Conway, John B. Etnyre, Bülent Tosun. 2019-01-24. Symplectic fillings, contact surgeries, and Lagrangian disks. https://arxiv.org/abs/1712.07287

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