学术报告(文诗云10.8)

Equivariant Symplectic Submanifold of Toric Manifold

发布人:杨晓静 发布日期:2019-10-08
主题
Equivariant Symplectic Submanifold of Toric Manifold
活动时间
-
活动地址
新数学楼415
主讲人
文诗云

主讲人:文诗云博士 首都师范大学 

时间:2019年10月 8 日 16:00-17:00

地点:数学学院 新数学楼415

摘要:

We study $2n$-dimensional symplectic toric manifolds, and give a description of a symplectic submanifold $N^{2n-2}$ carrying an effective subtorus $T^{n-1}$-action, by the  moment map $\mu$ of a toric manifold $(M^{2n},\omega,T^n,\mu)$. Its image $\mu\circ i(N^{2n-2})$ is a smooth hypersurface of $\Delta^n$ with some restrictions. And we prove that in some cases there exists a symplectic submanifold $N^{2n-2}$, carrying an effective subtorus $T^{n-1}$-action, such that the image $\mu\circ i(N^{2n-2})$ is a smooth hypersurface of $\Delta^n$.