Deformations of Asymptotically Conical Special Lagrangian Submanifolds

Mathematics – Differential Geometry

Scientific paper

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38 pages. Several modifications, new references. To appear in Pacific J. Math

Scientific paper

McLean studied the deformations of compact special Lagrangian submanifolds,
showing in particular that they come in moduli spaces whose dimension depends
only on the topology of the submanifold. In this article we study the analogous
problem for non-compact, "asymptotically conical" SL submanifolds, with respect
to various "boundary conditions at infinity".

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