Symplectic fillings of Seifert fibered spaces

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.

39 pages, 21 figures, v2 a few minor corrections and citations, v3 added clarifications in the proof of Lemma 2.8, plus some minor changes

References in corpus (1)

• Infinitely many small exotic Stein fillings

Cited by in corpus (3)

• Symplectic Divisorial Capping in Dimension 4
• Stein fillings of contact 3-manifolds obtained as Legendrian surgeries
• Comparing star surgery to rational blow-down