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Lagrangian Floer theory in symplectic fibrations
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Schultz, Douglas. Lagrangian Floer theory in symplectic fibrations. Retrieved from https://doi.org/doi:10.7282/T3W66PWF

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TitleLagrangian Floer theory in symplectic fibrations
NameSchultz, Douglas (author); Woodward, Christopher T. (chair); Borisov, Lev (internal member); Feehan, Paul M.N. (internal member); Sheridan, Nick (outside member); Rutgers University; School of Graduate Studies
Date Created2017
Other Date2017-10 (degree)
SubjectMathematics, Symplectic manifolds
Extent1 online resource (v, 126 p. : ill.)
DescriptionConsider a fibration of compact symplectic manifolds F → E → B with a compatible symplectic form on E, and an induced fibration of Lagrangian submanifolds LF → L → LB. We develop a Leray-Serre type spectral sequence to compute the Floer cohomology of L in terms of the Floer complex of LF and LB when F is symplectically small. Moreover, we write down a formula for the leading order superpotential when F is a Kahler homogeneous space. To solve the transversality and compactness problem, we use the classical approach in addition to the perturbation scheme recently developed by Cieliebak-Mohnke [CM07] and Charest-Woodward [CWb; CWa]. As applications, we find Floer-non-trivial tori in complex flag manifolds and ruled surfaces.
NotePh.D.
NoteIncludes bibliographical references
Noteby Douglas Schultz
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3W66PWF
Languageeng
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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