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Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Research paper by Alexandre Sukhov, Alexander Tumanov

Indexed on: 10 Jan '08Published on: 10 Jan '08Published in: Mathematics - Complex Variables



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.