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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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Open book decompositions for contact structures on Brieskorn manifolds
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by Otto van Koert and Klaus Niederkrüger PDF
Proc. Amer. Math. Soc. 133 (2005), 3679-3686 Request permission

Abstract:

In this paper, we give an open book decomposition for the contact structures on some Brieskorn manifolds, in particular for the contact structures of Ustilovsky. The decomposition uses right-handed Dehn twists as conjectured by Giroux.
References
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  • P. Seidel, Symplectic automorphisms of $T^*S^2$, arXiv:math.DG/9803084.
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Additional Information
  • Otto van Koert
  • Affiliation: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50.931 Köln, Federal Republic of Germany
  • Email: okoert@mi.uni-koeln.de
  • Klaus Niederkrüger
  • Affiliation: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50.931 Köln, Federal Republic of Germany
  • Email: kniederk@mi.uni-koeln.de
  • Received by editor(s): June 21, 2004
  • Received by editor(s) in revised form: August 16, 2004
  • Published electronically: June 8, 2005
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3679-3686
  • MSC (2000): Primary 53D10
  • DOI: https://doi.org/10.1090/S0002-9939-05-07944-X
  • MathSciNet review: 2163607