Abstract

McLean, 1998, studied the deformations of compact special 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 conical” SL submanifolds, with respect to various “boundary conditions at infinity”; these issues are related to the problem of compactifying McLean’s moduli spaces.

Authors