We study deformations of symplectic structures on a smooth manifold M via the quasi-Poisson theory. We can deform a given symplectic structure ω with a Hamiltonian G-action to a new symplectic structure ωt parametrized by some element t in Λ2g. We can obtain concrete examples for the deformations of symplectic structures on the complex projective space and the complex Grassmannian. Moreover applying the deformation method to any symplectic toric manifold, we show that manifolds before and after deformations are isomorphic as a symplectic toric manifold.
|ジャーナル||Journal of Geometry and Symmetry in Physics|
|出版ステータス||Published - 2018 1月 1|
ASJC Scopus subject areas