  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].
