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

Research output: Contribution to journalArticle

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

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Lagrangian Submanifold
Desingularization
Self-intersection
Immersion
Converge
Family

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

New examples of compact special lagrangian submanifolds embedded in hyper-kähler manifolds. / Hattori, Kota.

In: Journal of Symplectic Geometry, Vol. 17, No. 2, 01.01.2019, p. 301-335.

Research output: Contribution to journalArticle

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