Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Alexandre Sukhov; Alexander Tumanov

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Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Alexandre Sukhov·Alexander Tumanov

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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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Alexandre Sukhov, Alexander Tumanov. 2008-01-10. Filling hypersurfaces by discs in almost complex manifolds of dimension 2. https://arxiv.org/abs/math/0505459

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