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

 

Open book decompositions for contact structures on Brieskorn manifolds


Authors: Otto van Koert and Klaus Niederkrüger
Journal: Proc. Amer. Math. Soc. 133 (2005), 3679-3686
MSC (2000): Primary 53D10
Published electronically: June 8, 2005
MathSciNet review: 2163607
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07944-X
PII: S 0002-9939(05)07944-X
Keywords: Contact geometry, Dehn twists
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.