Catalogue


The Gromov Width of Coadjoint Orbits of Compact Lie Groups.
Zoghi, Masrour.
imprint
2010.
description
91 leaves.
ISBN
9780494723562
format(s)
Microform, Thesis
Holdings
Subjects
subject term
More Details
imprint
2010.
isbn
9780494723562
restrictions
Electronic version licensed for access by U. of T. users.
dissertation note
Thesis (Ph.D.)--University of Toronto, 2010.
general note
Source: Dissertation Abstracts International, Volume: 72-07, Section: B, page: .
local note
ROBARTS MICROTEXT copy on microfiche.
abstract
The first part of this thesis investigates the Gromov width of maximal dimensional coadjoint orbits of compact simple Lie groups. An upper bound for the Gromov width is provided for all compact simple Lie groups but only for those coadjoint orbits that satisfy a certain technical assumption, whereas the lower bound is proved only for groups of type A, but without the technical restriction. The two bounds use very different techniques: the proof of the upper bound uses more analytical tools, while the proof of the lower bound is more geometric.The second part of the thesis is a short report on a joint project with my supervisor, which was concerned with the relationship between two different definitions of orbifolds: one using Lie groupoids and the other involving diffeologies. The results are summarized in Chapter 5 of this text.
catalogue key
7911056

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