Stein fillable Seifert fibered 3–manifolds

Lecuona, Ana G; Lisca, Paolo

doi:10.2140/agt.2011.11.625

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

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 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)