Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds
Li, Hui
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https://hdl.handle.net/2142/86818
Description
Title
Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds
Author(s)
Li, Hui
Issue Date
2003
Doctoral Committee Chair(s)
Susan Tolman
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
Assume M 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. Assume the second Betti number of M is less than 3. We give a complete list of the possible manifolds, determine their equivariant cohomology ring and equivariant Chern classes. We classify some of these manifolds up to diffeomorphism. We also show the existence of most of these manifolds.
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