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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations
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by Burak Ozbagci and András I. Stipsicz PDF
Proc. Amer. Math. Soc. 128 (2000), 3125-3128 Request permission

Abstract:

We construct noncomplex smooth 4-manifolds which admit genus-2 Lefschetz fibrations over $S^2$. The fibrations are necessarily hyperelliptic, and the resulting 4-manifolds are not even homotopy equivalent to complex surfaces. Furthermore, these examples show that fiber sums of holomorphic Lefschetz fibrations do not necessarily admit complex structures.
References
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Additional Information
  • Burak Ozbagci
  • Affiliation: Department of Mathematics, University of California Irvine, Irvine, California 92697
  • Address at time of publication: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
  • MR Author ID: 643774
  • ORCID: 0000-0002-9758-1045
  • Email: bozbagci@math.uci.edu, bozbagci@math.msu.edu
  • András I. Stipsicz
  • Affiliation: Department of Analysis, ELTE TTK, Múzeum krt. 6-8, Budapest, Hungary
  • MR Author ID: 346634
  • Email: stipsicz@cs.elte.hu
  • Received by editor(s): October 13, 1998
  • Received by editor(s) in revised form: November 24, 1998
  • Published electronically: April 28, 2000
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 3125-3128
  • MSC (2000): Primary 57R55; Secondary 57R65, 57M50
  • DOI: https://doi.org/10.1090/S0002-9939-00-05390-9
  • MathSciNet review: 1670411