Stein fillable Seifert fibered 3–manifolds

Lecuona, Ana G¹ ; Lisca, Paolo¹

¹Dipartimento di Matematica “L Tonelli”, Universitá di Pisa, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 625-642

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.625

Keywords: Seifert fibered $3$–manifold, Stein filling, symplectic filling, positive open book

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