Title

Non-Käler Symplectic Manifolds with Toric Symmetries

Document Type

Article

Publication Date

3-1-2011

Publication Title

The Quarterly Journal of Mathematics

DOI

10.1093/qmath/hap024

ISSN

1464-3847

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.

Share

COinS