Filling hypersurfaces by discs in almost complex manifolds of dimension 2 A. SukhovAlexander Tumanov 32H0253C15almost complex manifoldBishop disc We study pseudoholomorphic discs with boundaries attached to a real hypersurface $E$ in an almost complex manifold of dimension 2. We prove that if $E$ contains no discs, then they fill a one sided neighborhood of $E$. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3154 10.1512/iumj.2008.57.3154 en Indiana Univ. Math. J. 57 (2008) 509 - 544 state-of-the-art mathematics http://iumj.org/access/