Symplectic fillings of Seifert fibered spaces

Laura Starkston

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arXiv · 1304.2420

Symplectic fillings of Seifert fibered spaces

Laura Starkston

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Abstract

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.

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BibTeX RIS

Laura Starkston. 2013-04-08. Symplectic fillings of Seifert fibered spaces. https://arxiv.org/abs/1304.2420

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