Semi-free Hamiltonian circle actions on 6-dimensional symplectic manifolds
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Abstract:
Assume $(M, \omega )$ 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.References
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Additional Information
- Hui Li
- Affiliation: Department of Mathematics, University of Illinois, Urbana-Champaign, Illinois 61801
- Address at time of publication: Departamento de Matematica, Instituto Superior Tecnico, Lisbon, Portugal 1049-001
- Email: hli@math.uiuc.edu
- Received by editor(s): April 17, 2002
- Received by editor(s) in revised form: September 18, 2002
- Published electronically: July 9, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 4543-4568
- MSC (2000): Primary 53D05, 53D20; Secondary 55Q05, 57R19
- DOI: https://doi.org/10.1090/S0002-9947-03-03227-6
- MathSciNet review: 1990761