Transactions of the American Mathematical Society

Author(s): Jonathan Bowden
Journal: Trans. Amer. Math. Soc. 361 (2009), 5457-5468.
MSC (2000): Primary 57R17; Secondary 57N10, 57N13
Posted: April 21, 2009
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Abstract: We consider circle bundles over compact three-manifolds with symplectic total spaces. We show that the base of such a space must be irreducible or the product of the two-sphere with the circle. We then deduce that such a bundle admits a symplectic form if and only if it admits one that is invariant under the circle action in three special cases: namely, if the base is Seifert fibered, has vanishing Thurston norm, or if the total space admits a Lefschetz fibration.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57R17, 57N10, 57N13

Jonathan Bowden
Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstr. 39, 80333 München, Germany
Email: jonathan.bowden@mathematik.uni-muenchen.de

DOI: 10.1090/S0002-9947-09-04721-7
PII: S 0002-9947(09)04721-7
Received by editor(s): November 19, 2007
Posted: April 21, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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