On the Hamiltonian circle actions and symplectic reduction

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2003

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Demir, Ali Sait

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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.

Subject Keywords

Symplectic manifolds, Hamilton-Jacob equations

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http://etd.lib.metu.edu.tr/upload/1086313/index.pdf
https://hdl.handle.net/11511/13556

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

A. S. Demir, “On the Hamiltonian circle actions and symplectic reduction,” M.S. - Master of Science, Middle East Technical University, 2003.