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On The Hamiltonian Circle Actions And Symplectic Reduction

Given a symplectic manifold, it is of interest how Lie group actions, their orbit
spaces look like and what are some topological requirements on the existence of
such actions. In this thesis we present the work of Ono, giving some sufficient
conditions for non-existence of circle actions on symplectic manifolds and work
of Li, describing the fundamental groups of symplectic reductions of circle actions.

Identiferoai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/1086313/index.pdf
Date01 January 2003
CreatorsDemir, Ali Sait
ContributorsOzan, Yildiray
PublisherMETU
Source SetsMiddle East Technical Univ.
LanguageEnglish
Detected LanguageEnglish
TypeM.S. Thesis
Formattext/pdf
RightsTo liberate the content for public access

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