Electronic Thesis and Dissertation Repository

Degree

Doctor of Philosophy

Program

Mathematics

Supervisor

Professor Martin Pinsonnault

Abstract

In this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symplectomorphism groups of toric manifolds. We also prove an infinite-dimensional version of Schur-Horn-Kostant convexity theorem. These results are extensions of the results of Bao-Raiu, Elhadrami, Bloch-Flachka-Ratiu and Bloch-El Hadrami-Flaschka-Raiu.

Thesis-Final.pdf (528 kB)
Final Version Of Thesis


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