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Stein fillable Seifert fibered 3–manifolds

Ana G Lecuona and Paolo Lisca

Algebraic & Geometric Topology 11 (2011) 625–642

DOI: 10.2140/agt.2011.11.625
Abstract

We characterize the closed, oriented, Seifert fibered 3–manifolds which are oriented boundaries of Stein manifolds. We also show that for this class of 3–manifolds the existence of Stein fillings is equivalent to the existence of symplectic fillings.

Keywords

Seifert fibered 3–manifold, Stein filling, symplectic filling, positive open book
Mathematical Subject Classification

Primary: 57R17

Secondary: 53D10
References
Publication

Received: 23 September 2010
Accepted: 22 December 2010
Published: 24 February 2011
Authors
Ana G Lecuona
Dipartimento di Matematica “L Tonelli”
Universitá di Pisa
Largo Bruno Pontecorvo 5
I-56127 Pisa
Italy
Paolo Lisca
Dipartimento di Matematica “L Tonelli”
Universitá di Pisa
Largo Bruno Pontecorvo 5
I-56127 Pisa
Italy