2026-09-22T19:22:25Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86774 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Susan Tolman Chiang, River 2015-09-28T15:19:28Z 2015-09-28T15:19:28Z 10000-01-01 2001 2001 Main Theorem. (Local Uniqueness over 0). Let G be SU(2) or SO(3). Let (M, o, phi), and (M', o', phi ') be six dimensional compact connected Hamiltonian G-manifolds such that 0 ∈ phi(M) = phi '(M'). There exists an invariant neighborhood V of 0 in g* over which the Hamiltonian G-manifolds are isomorphic if and only if (1) their Duistermaat-Heckman functions coincide; (2) their isotropy data and genus at 0 are the same; (3) if the zero fibers are tall with principal isotropy group S1, the first Stiefel-Whitney classes of phi-1(0) and phi '-1(0) in H1( Mreg0;Z2 ) and H1 ( M'reg0;Z2 ) are equal (under a proper identification of the reduced spaces at 0). Made available in DSpace on 2015-09-28T15:19:28Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3017043.pdf: 2323247 bytes, checksum: 3a84e07e420b60eba8222074de7c59ab (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 88055 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 46 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/86774 (MiAaPQ)AAI3017043 eng Mathematics Complexity One Hamiltonian SU(2) and SO(3) Actions text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.