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Memoirs of the American Mathematical Society
1999; 71 pp; softcover
List Price: US$45
Individual Members: US$27
Institutional Members: US$36
Order Code: MEMO/141/672
Abstract. We classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian \(S^1\)-spaces. Additionally, we show that all these spaces are Kähler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.
Graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
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