Periodic Hamiltonian flows on four dimensional manifolds

Details Periodic Hamiltonian flows on four dimensional manifolds Periodic Hamiltonian flows on four dimensional manifolds

1995-10-13

arxiv.org/abs/dg-ga/9510004v3

Mathematics

Differential Geometry

71 pages, LaTeX. The paper is essentially rewritten (following an excellent referee report): I clarified statements, simplifie

Scientific paper

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 Kaehler, 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.

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