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Abstract
We prove a Moser-type theorem for self-dual harmonic 2-forms on closed 4-manifolds, and use it to classify local forms on neighborhoods of singular circles on which the 2-form vanishes. Removing neighborhoods of the circles, we obtain a symplectic manifold with contact boundary—we show that the contact form on each S1 × S2, after a slight modification, must be one of two possibilities.
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Published Online: 2005-07-27
Published in Print: 2004-11-30
© Walter de Gruyter
