We will prove a Moser-type theorem for self-dual harmonic 2-forms on closed4-manifolds, and use it to classify local forms on neighborhoods of singularcircles on which the 2-form vanishes. Removing neighborhoods of the circles, weobtain a symplectic manifold with contact boundary - we show that the contactform on each S^1\times S^2, after a slight modification, must be one of twopossibilities.
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机译:我们将证明封闭4流形上自对偶2次谐波形式的Moser型定理,并用它对2型消失的奇异圆邻域上的局部形式进行分类。去除圆的邻域,得到具有接触边界的辛流形-我们表明,在稍加修改后,每个S ^ 1 \ S ^ 2上的接触形式必定是两个可能性之一。
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