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arxiv: math/0505459 · v2 · submitted 2005-05-23 · 🧮 math.CV

Filling hypersurfaces by discs in almost complex manifolds of dimension 2

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keywords discshypersurfacealmostcomplexdimensionattachedboundariescontains
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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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