{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86818"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86818","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds","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.","abstract_html":"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. 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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.","Made available in DSpace on 2015-09-28T15:19:42Z (GMT). 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