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

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Abstract

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.

Original languageEnglish
Pages (from-to)301-335
Number of pages35
JournalJournal of Symplectic Geometry
Volume17
Issue number2
DOIs
Publication statusPublished - 2019 Jan 1

ASJC Scopus subject areas

  • Geometry and Topology

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