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math.CV2017
On Poletsky theory of discs in compact manifolds
Uros Kuzman
We provide a direct construction of Poletsky discs via local arc approximation and a Runge-type theorem by A. Gournay.
math.CV2017
Local approximation of non-holomorphic discs in almost complex manifolds
Florian Bertrand, Uros Kuzman
We provide a local approximation result of non-holomorphic discs with small d-bar by pseudoholomorphic ones. As an application, we provide a certain gluing construction.