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Regularization of almost complex structures and gluing holomorphic discs to tori. (English) Zbl 1228.32016

Summary: We prove a result on removing singularities of almost complex structures pulled back by a non-diffeomorphic map. As an application we prove the existence of global \(J\)-holomorphic discs with boundaries attached to real tori.

MSC:

32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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