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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

   
 

 

Symplectic fillings of Seifert fibered spaces


Author: Laura Starkston
Journal: Trans. Amer. Math. Soc. 367 (2015), 5971-6016
MSC (2010): Primary 53D05, 57M50, 57R17; Secondary 57R65, 53D10
Published electronically: November 6, 2014
MathSciNet review: 3347194
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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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Additional Information

Laura Starkston
Affiliation: Department of Mathematics, The University of Texas, Austin, Texas 78712
Email: lstarkston@math.utexas.edu

DOI: https://doi.org/10.1090/S0002-9947-2014-06420-9
Received by editor(s): October 9, 2013
Received by editor(s) in revised form: February 6, 2014
Published electronically: November 6, 2014
Article copyright: © Copyright 2014 by the author