2016/12/05 by Emmanuel Mazzilli, Mazzilli, Emmanuel, Alexandre Sukhov +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1612.01374
openalex publication_date 2016/12/05 · openalex created_date 2016/12/16 · openalex updated_date 2026/07/28
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-Poincaré 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].