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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contact 3-manifolds with infinitely many Stein fillings
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by Burak Ozbagci and András I. Stipsicz
Proc. Amer. Math. Soc. 132 (2004), 1549-1558
DOI: https://doi.org/10.1090/S0002-9939-03-07328-3
Published electronically: December 19, 2003

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.
References
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Bibliographic Information
  • Burak Ozbagci
  • Affiliation: College of Arts and Sciences, Koc University, Rumelifeneri Yolu 34450, Sariyer, Istanbul, Turkey
  • MR Author ID: 643774
  • ORCID: 0000-0002-9758-1045
  • 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
  • MR Author ID: 346634
  • Email: stipsicz@math-inst.hu, stipsicz@math.princeton.edu
  • Received by editor(s): April 15, 2002
  • Published electronically: December 19, 2003
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1549-1558
  • MSC (2000): Primary 57R57, 57R17
  • DOI: https://doi.org/10.1090/S0002-9939-03-07328-3
  • MathSciNet review: 2053364