Compactness for holomorphic curves with switching Lagrangian boundary conditions
Compactness for holomorphic curves with switching Lagrangian boundary conditions
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具有切换拉格朗日边界条件的全纯曲线的紧致性
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
J. Latschev
中科院分区：
文献类型：
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作者：
K. Cieliebak;T. Ekholm;J. Latschev
证明了具有干净自相交的浸入拉格朗日子流形上的边界的全纯曲线的一个紧性结果。作为一个重要的结果，我们证明了这样的全纯曲线与自相交轨迹的相交数是一致有界的霍费尔能量。
We prove a compactness result for holomorphic curves with boundary on an immersed Lagrangian submanifold with clean self-intersection. As an important consequence, we show that the number of intersections of such holomorphic curves with the self-intersection locus is uniformly bounded in terms of the Hofer energy.