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.
Recommended Citation
Lin, Yi, Alvaro Pelayo.
2011.
"Non-Käler Symplectic Manifolds with Toric Symmetries."
The Quarterly Journal of Mathematics, 62 (1): 103-114.
doi: 10.1093/qmath/hap024
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/99
