A Convexity Theorem For Symplectomorphism Groups

Author

Seyed Mehdi Mousavi, The University of Western OntarioFollow

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.

Recommended Citation

Mousavi, Seyed Mehdi, "A Convexity Theorem For Symplectomorphism Groups" (2012). Electronic Thesis and Dissertation Repository. 775.
https://ir.lib.uwo.ca/etd/775