Filling hypersurfaces by discs in almost complex manifolds of dimension 2

Details Filling hypersurfaces by discs in almost complex manifolds of dimension 2 Filling hypersurfaces by discs in almost complex manifolds of dimension 2

2005-05-23

arxiv.org/abs/math/0505459v2

Mathematics

Complex Variables

34 pages

Scientific paper

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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