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Dissertation/Thesis Abstract

Folded symplectic toric four -manifolds
by Lee, Christopher R., Ph.D., University of Illinois at Urbana-Champaign, 2009, 59; 3395573
Abstract (Summary)

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.

Indexing (document details)
Advisor: Tolman, Susan
School: University of Illinois at Urbana-Champaign
School Location: United States -- Illinois
Source: DAI-B 71/01, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Folded symplectic forms, Toric four-manifolds
Publication Number: 3395573
ISBN: 978-1-109-58381-6
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