Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities

Abstract: We make two improvements upon Joyce's gluing theorems of for compact special Lagrangian submanifolds with isolated conical singularities. Firstly, we get rid of a few technical hypotheses of them. Secondly, we replace another hypothesis by a weaker one and prove that the latter is a necessary condition for the gluing process to be possible.