J-holomorphic discs attached to maximal real submanifold Uros Kuzman 32Q6032Q6532V4035J56almost complex manifoldsJ-holomorphic discmaximal totally real manifoldsRiemann-Hilbert problem for Pascali systems We study the neighborhood of an embedded $J$-holomorphic disc attached along its boundary to a maximal totally real submanifold in an almost complex manifold. In particular, we provide sufficient conditions for the set of all nearby attached $J$-holomorphic discs to be a manifold. Indiana University Mathematics Journal 2011 text pdf 10.1512/iumj.2011.60.4491 10.1512/iumj.2011.60.4491 en Indiana Univ. Math. J. 60 (2011) 1927 - 1938 state-of-the-art mathematics http://iumj.org/access/