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Local properties of self-dual harmonic 2-forms on a 4-manifold
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Ko Honda
Published/Copyright:
July 27, 2005
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
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Articles in the same Issue
- The resolution property for schemes and stacks
- Beyond Endoscopy and special forms on GL(2)
- A characterization of quantum groups
- Local properties of self-dual harmonic 2-forms on a 4-manifold
- Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture
- Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture
- The rank of elliptic surfaces in unramified abelian towers
- Crystal dissolution and precipitation in porous media: Pore scale analysis
- On rigidity of Grauert tubes over homogeneous Riemannian manifolds
