Filling hypersurfaces by discs in almost complex manifolds of dimension 2

2005/05/23 by Alexandre Sukhov, Sukhov, Alexandre, Alexander Tumanov +1
Mathematics · #32H02 #53C15 #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0505459

openalex publication_date 2005/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold of dimension 2. We prove that if the hypersurface contains no discs, then they fill a one sided neighborhood of the hypersurface.

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