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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Contact 3-manifolds with infinitely many Stein fillings


Authors: Burak Ozbagci and András I. Stipsicz
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1549-1558
MSC (2000): Primary 57R57, 57R17
Published electronically: December 19, 2003
MathSciNet review: 2053364
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Abstract: Infinitely many contact 3-manifolds each admitting infinitely many pairwise non-diffeomorphic Stein fillings are constructed. We use Lefschetz fibrations in our constructions and compute their first homologies to distinguish the fillings.


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Additional Information

Burak Ozbagci
Affiliation: College of Arts and Sciences, Koc University, Rumelifeneri Yolu 34450, Sariyer, Istanbul, Turkey
Email: bozbagci@ku.edu.tr

András I. Stipsicz
Affiliation: A. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary and Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Email: stipsicz@math-inst.hu, stipsicz@math.princeton.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07328-3
PII: S 0002-9939(03)07328-3
Received by editor(s): April 15, 2002
Published electronically: December 19, 2003
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2003 American Mathematical Society