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Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition. (English) Zbl 0951.32025
The authors prove that the image of a \(J\)-holomorphic disc with totally real boundary condition can be represented as a finite union of simple \(J\)-holomorphic discs (with multiplicity) with the same totally real boundary condition. Having this structure theorem, one can safely repeat the same kind of argument as those for the sphere case in the genetic transversality result, the structure of Gromov compactification of the moduli space of \(J\)-holomorphic discs and intersection theory of \(J\)-holomorphic discs that is needed in the applications.

32V40 Real submanifolds in complex manifolds
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