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Home > Academic Announcements > (Oct. 8) Equivariant Symplectic Submanifold of Toric Manifold

(Oct. 8) Equivariant Symplectic Submanifold of Toric Manifold

Last updated :2019-10-08

Topic: Equivariant Symplectic Submanifold of Toric Manifold
Speaker: Dr. WEN Shiyun
(Capital Normal University)
Time: 16:00-17:00, Tuesday, October 8, 2019
Venue: Room 415, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
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 $/Delta^n$.