Non-Käler Symplectic Manifolds with Toric Symmetries

Yi Lin, Alvaro Pelayo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Drawing on the classification of symplectic manifolds with coisotropic principal orbits by Duistermaat and Pelayo, in this note we exhibit families of compact symplectic manifolds, such that: (i) no two manifolds in a family are homotopically equivalent; (ii) each manifold in each family possesses Hamiltonian, and non-Hamiltonian, toric symmetries; (iii) each manifold has odd first Betti number and hence it is not a Kähler manifold. This can be viewed as an application of the aforementioned classification.

Original languageAmerican English
JournalThe Quarterly Journal of Mathematics
Volume62
DOIs
StatePublished - Mar 1 2011

Keywords

  • Non-Käler symplectic manifolds
  • Toric symmetries

DC Disciplines

  • Education
  • Mathematics

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