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Symplectic Fillings, Contact Surgeries, and Lagrangian Disks
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AbstractThis paper completely answers the question of when contact $(r)$–surgery on a Legendrian knot in the standard contact structure on $S^3$ 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.
Oxford University Press (OUP)
Title: Symplectic Fillings, Contact Surgeries, and Lagrangian Disks
Description:
AbstractThis paper completely answers the question of when contact $(r)$–surgery on a Legendrian knot in the standard contact structure on $S^3$ 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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