Symplectic fillings of Seifert fibered spaces

Starkston, Laura

doi:10.1090/S0002-9947-2014-06420-9

Symplectic fillings of Seifert fibered spaces
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by Laura Starkston PDF

Trans. Amer. Math. Soc. 367 (2015), 5971-6016

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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