A Uniqueness Theorem for Gluing Special Lagrangian Submanifolds

Published 13 Feb 2011 in math.DG | (1102.2546v1)

Abstract: Butscher, D. Lee, Y. Lee, and Joyce constructed a special Lagrangian submanifold by gluing a Lawlor neck into a transverse intersection point of two special Lagrangian submanifolds. We prove a uniqueness theorem for the gluing of flat special Lagrangian tori of real dimension 3 in a flat complex torus of complex dimension 3.

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Yohsuke Imagi

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