Symplectic Fillings, Contact Surgeries, and Lagrangian Disks
Symplectic Fillings, Contact Surgeries, and Lagrangian Disks
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DOI：
10.1093/imrn/rny291
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发表时间：
2017-12
影响因子：
1
通讯作者：
J. Conway;John B. Etnyre;B. Tosun
中科院分区：
文献类型：
--
作者：
J. Conway;John B. Etnyre;B. Tosun
本文完整地回答了何时接触$（r）$-对$S^3$上标准接触结构中的Legendrian结进行手术会产生$r\in（0，1]$的辛可填充接触流形的问题。我们也给其他积极的障碍$r$和调查拉格朗日填充勒让德结。
This 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.