A Uniqueness Theorem for Gluing Special Lagrangian Submanifolds

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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