In this paper, we present two applications of the theory of singular connections developed by Harvey and Lawson (1993). The first one is a version of the Lelong–Poincaré formula with estimates for sections of vector bundles over an almost complex manifold. The second one is a convergence theorem for divisors associated to a general family of symplectic submanifolds constructed by Donaldson (1996) (the case of hypersurfaces) and by Auroux in (1997) (for arbitrary dimensional submanifolds).

中文翻译：

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辛和几乎复杂的几何中的Lelong–Poincaré公式

在本文中，我们介绍了Harvey和Lawson（1993）提出的奇异连接理论的两个应用。第一个是Lelong-Poincaré公式的一个版本，其中估计了几乎复杂的流形上矢量束的截面。第二个是收敛定理，它是由Donaldson（1996）（超曲面的情况）和Auroux（1997）（对于任意维子流形）构造的一般子流形家族相关的除数。