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arXiv · 1410.3271

New examples of compact special Lagrangian submanifolds embedded in hyper-K\"ahler manifolds

Kota Hattori
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Abstract

We construct smooth families of compact special Lagrangian submanifolds embedded in some toric hyper-K\"ahler manifolds, which never become holomorphic Lagrangian submanifolds via any hyper-K\"ahler rotations. These families converge to special Lagrangian immersions with self-intersection points in the sense of current. To construct them, we apply the desingularization method developed by Joyce.

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Kota Hattori. 2014-10-13. New examples of compact special Lagrangian submanifolds embedded in hyper-K\"ahler manifolds. https://arxiv.org/abs/1410.3271

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