Deformations of asymptotically conical special Lagrangian submanifolds. math.DG/0207144

McLean, 1998, studied the deformations of compact spe-cial Lagrangian submanifolds, showing in particular that they come in smooth moduli spaces whose dimension depends only on the topology of the submanifold. In this article we study the analogous problem for noncompact, “asymptotically coni-cal ” SL submanifolds, with respect to various “boundary con-ditions at infinity”; these issues are related to the problem of compactifying McLean’s moduli spaces. 1