IUMJ

Title: Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Authors: Alexandre Sukhov and Alexander Tumanov

Issue: Volume 57 (2008), Issue 1, 509-544

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