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arXiv · 1612.01374

Applications of singular connections in symplectic and almost complex geometry

Emmanuel Mazzilli·Alexandre Sukhov
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Abstract

In this paper, we give two direct applications of the theory of singular connections developped by Harvey-Lawson [10]. The first one is a version of Lelong-Poincar\'e formula for vector bundle over an almost complex manifold. The second is a convergence theorem for divisors associated to symplectic submanifolds constructed by Auroux in [2]. The case of hypersurfaces was done by Donaldsson in [4].

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Emmanuel Mazzilli, Alexandre Sukhov. 2016-12-05. Applications of singular connections in symplectic and almost complex geometry. https://arxiv.org/abs/1612.01374

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