Symplectic fillings of Seifert fibered spaces
Symplectic fillings of Seifert fibered spaces
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Seifert 纤维空间的辛填充
DOI：
10.1090/s0002-9947-2014-06420-9
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发表时间：
2013
影响因子：
1.3
通讯作者：
Laura Starkston
中科院分区：
文献类型：
--
作者：
Laura Starkston
本文给出了S^2上满足一定条件的具有固定自然接触结构的Seifert纤维空间的极小强辛填充的有限性结果和一些分类，直至其同构。在某些情况下，我们可以证明，所有的辛填充是通过合理的吹落铅垂球。在其他情况下，我们产生新的流形与凸辛边界，从而产生新的剪切和粘贴操作的辛流形包含某些配置的辛球。
We give finiteness results and some classifications up to diffeomorphism of minimal strong symplectic fillings of Seifert fibered spaces over S^2 satisfying certain conditions, with a fixed natural contact structure. In some cases we can prove that all symplectic fillings are obtained by rational blow-downs of a plumbing of spheres. In other cases, we produce new manifolds with convex symplectic boundary, thus yielding new cut-and-paste operations on symplectic manifolds containing certain configurations of symplectic spheres.