Semi-Free Hamiltonian Circle Actions on 6-Dimensional Symplectic Manifolds

Semi-Free Hamiltonian Circle Actions on 6-Dimensional Symplectic Manifolds

Assume (M,ω) is a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian circle action, such that the fixed point set consists of isolated points or compact orientable surfaces. We restrict attention to the case dim $H^{2}(M)<3$ . We give a complete list of the...

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Veröffentlicht in:Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 355(2003), 11, Seite 4543-4568
1. Verfasser: Li, Hui (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2003
Zugriff auf das übergeordnete Werk:Transactions of the American Mathematical Society
Schlagworte:Circle action symplectic manifold symplectic reduction equivariant cohomology Morse theory Mathematics
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520 |a Assume (M,ω) is a connected, compact 6-dimensional symplectic manifold equipped with a semi-free Hamiltonian circle action, such that the fixed point set consists of isolated points or compact orientable surfaces. We restrict attention to the case dim $H^{2}(M)<3$ . We give a complete list of the possible manifolds, and determine their equivariant cohomology rings and equivariant Chern classes. Some of these manifolds are classified up to diffeomorphism. We also show the existence for a few cases. 
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