2026-09-19T21:10:59Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86818 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Susan Tolman Li, Hui 2015-09-28T15:19:42Z 2015-09-28T15:19:42Z 10000-01-01 2003 2003 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. Made available in DSpace on 2015-09-28T15:19:42Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3101899.pdf: 2525880 bytes, checksum: a9c5ec7f43bff0cf3eb39dcab527c263 (MD5) Previous issue date: 2003 Embargo set by: Seth Robbins for item 88099 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 68 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003. http://hdl.handle.net/2142/86818 (MiAaPQ)AAI3101899 eng Mathematics Semi-Free Hamiltonian Circle Actions on Six-Dimensional Symplectic Manifolds text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.