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Title:Folded Symplectic Toric Four -Manifolds
Author(s):Lee, Christopher R.
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:A folded symplectic form on an even-dimensional manifold is a closed two-form that degenerates in a suitably controlled way along a smooth hypersurface. When a torus having half the dimension of the manifold acts in a way preserving the folded symplectic form and admitting a moment map, the manifold is called a folded symplectic toric manifold. Motivated by results in symplectic geometry, our goal is to prove a classification theorem of folded symplectic toric manifolds. This work is a step in that direction: the main result is a necessary and sufficient condition for two orientable, folded symplectic toric four-manifolds to be isomorphic.
Issue Date:2009
Type:Text
Language:English
Description:59 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
URI:http://hdl.handle.net/2142/86934
Other Identifier(s):(MiAaPQ)AAI3395573
Date Available in IDEALS:2015-09-28
Date Deposited:2009


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