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dc.contributor.authorOakley, Joel Stantford
dc.date.accessioned2015-04-15T04:30:19Z
dc.date.available2015-04-15T04:30:19Z
dc.date.issued2014-08
dc.identifier.otheroakley_joel_s_201408_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/oakley_joel_s_201408_phd
dc.identifier.urihttp://hdl.handle.net/10724/31257
dc.description.abstractThis work investigates certain Lagrangian submanifolds of products of spheres. In particular, we will study several constructions of "exotic" Lagrangian tori in S^2 x S^2, and we will prove that they are all Hamiltonian isotopic. In the space (S^2)^3, we will investigate a Lagrangian submanifold that is diffeomorphic to RP^3, and we will prove that it is nondisplaceable under Hamiltonian diffeomorphisms by showing that the homology of a certain chain complex (called the pearl complex) is non-trivial.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectLagrangian submanifold
dc.subjectSymplectic manifold
dc.subjectProduct of spheres
dc.subjectHamiltonian
dc.subjectNondisplaceable
dc.subjectPearl complex
dc.titleLagrangian bubmanifolds of products of spheres
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorMichael Usher
dc.description.committeeMichael Usher
dc.description.committeeRobert Varley
dc.description.committeeGordana Matic
dc.description.committeeWilliam Kazez
dc.description.committeeDavid Gay


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