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Title:Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds
Author(s):Li, Hui
Doctoral Committee Chair(s):Susan Tolman
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:2003
Type:Text
Language:English
Description:68 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
URI:http://hdl.handle.net/2142/86818
Other Identifier(s):(MiAaPQ)AAI3101899
Date Available in IDEALS:2015-09-28
Date Deposited:2003


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