The deformations of symplectic structures by moment maps

Autor:	Nakamura, Tomoya
Rok vydání:	2016
Předmět:	Mathematics - Differential Geometry 53D05 53D17 53D20
Druh dokumentu:	Working Paper
Popis:	We study deformations of symplectic structures on a smooth manifold $M$ via the quasi-Poisson theory. By a fact, we can deform a given symplectic structure $\omega $ to a new symplectic structure $\omega_t$ parametrized by some element $t$ in $\Lambda^2\mathfrak{g}$, where $\mathfrak{g}$ is the Lie algebra of a Lie group $G$. Moreover, we can get a lot of concrete examples for the deformations of symplectic structures on the complex projective space and the complex Grassmannian.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.02448 Zobrazit plný text záznamu View this record from Arxiv