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arxiv: 1403.6139 · v2 · pith:WFR6VBMLnew · submitted 2014-03-24 · 🧮 math.SG · math.AP

Gromov compactness for holomorphic discs with totally real boundary conditions

classification 🧮 math.SG math.AP
keywords boundaryholomorphicboundedconditionsdiscsgromovrealsequence
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We prove that a sequence of holomorphic discs with totally real boundary conditions has a subsequence that Gromov converges to a stable holomorphic map of genus zero with connected boundary provided that the sequence is bounded and has bounded energy.

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