New examples of compact special lagrangian submanifolds embedded in hyper-kähler manifolds

研究成果: Article査読

抄録

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

本文言語English
ページ(範囲)301-335
ページ数35
ジャーナルJournal of Symplectic Geometry
17
2
DOI
出版ステータスPublished - 2019 1 1

ASJC Scopus subject areas

  • Geometry and Topology

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