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Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities

Differential Geometry 2025-03-12 v1

Abstract

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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Cite

@article{arxiv.2503.08150,
  title  = {Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities},
  author = {Yohsuke Imagi},
  journal= {arXiv preprint arXiv:2503.08150},
  year   = {2025}
}

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26 pages