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Symplectic fillings, contact surgeries, and Lagrangian disks (1712.07287v2)
Published 20 Dec 2017 in math.GT and math.SG
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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