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Title:Complexity One Hamiltonian SU(2) and SO(3) Actions
Author(s):Chiang, River
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: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).
Issue Date:2001
Type:Text
Language:English
Description:46 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.
URI:http://hdl.handle.net/2142/86774
Other Identifier(s):(MiAaPQ)AAI3017043
Date Available in IDEALS:2015-09-28
Date Deposited:2001


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