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dc.contributor.advisorUhlenbeck, Karen K.en
dc.creatorMandolesi, André Luís Godinhoen
dc.date.accessioned2008-08-28T21:33:46Zen
dc.date.available2008-08-28T21:33:46Zen
dc.date.issued2002en
dc.identifierb57157157en
dc.identifier.urihttp://hdl.handle.net/2152/754en
dc.descriptiontexten
dc.description.abstractA formal limit of the Hermitian Yang-Mills Equations on a SU(2) bundle over a product of two Riemann surfaces yields the Adiabatic Equations when the metric of the first surface is stretched ad infinitum. This thesis identifies the solutions of this new set of equations with holomorphic maps from the first surface into the moduli space of flat connections of the second one. Moreover, some advance is made in the study of the sort of bubbling phenomena that may occur when taking this limit. This dissertation is a step towards a rigorous proof of the relationship suggested by Bershadky, Johansen, Sadov and Vafa between Donaldson invariants and quantum cohomology, and relates to the program of Dostoglou and Salamon to prove the Atiyah-Floer conjecture.
dc.format.mediumelectronicen
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshYang-Mills theoryen
dc.subject.lcshHermitian structuresen
dc.subject.lcshAdiabatic invariantsen
dc.titleAdiabatic limits of the Hermitian Yang-Mills equations on slicewise stable bundlesen
dc.description.departmentMathematicsen
dc.identifier.oclc56799214en
dc.identifier.proqst3110649en
dc.type.genreThesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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