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Toric Symplectic Manifolds and Delzant Polytopes

Student-Run Geometry/Topology Seminar

Speaker: James Buban, UC Davis
Location: 2112 MSB
Start time: Mon, Apr 16 2012, 4:10PM

I will begin this talk with an introduction to symplectic manifolds, Hamiltonian actions and Delzant polytopes. Next I will discuss the bijective correspondence between Delzant polytopes and sympletic toric manifolds, an important class of symplectic manifolds, via the moment map. Finally I will explain how to obtain information on the cohomology of the toric manifold can be obtained through Delzant polytope using Morse Theory.