Stein fillable Seifert fibered 3–manifolds

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.

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Keywords

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

Mathematical Subject Classification 2000

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

Volume 11, issue 2 (2011)

Ana G Lecuona and Paolo Lisca

Abstract