Research improves necessary conditions and hypotheses for gluing special lagrangian submanifolds with conical singularities.
We make two improvements upon Joyce's gluing theorems of for compact special Lagrangian submanifolds with isolated conical singularities. Firstly, we get rid of a few technical hypotheses of them. Secondly, we replace another hypothesis by a weaker one and prove that the latter is a necessary condition for the gluing process to be possible.
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Yohsuke Imagi (2025) studied this question.
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