An Investigation on Holomorphic vector Bundles and Krichever-Lax matrices over an Algebraic curve

dc.contributor.advisorGoldman, Williamen_US
dc.contributor.advisorRamachandran, Niranjanen_US
dc.contributor.authorKim, Taejungen_US
dc.contributor.departmentMathematicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2007-06-22T05:35:24Z
dc.date.available2007-06-22T05:35:24Z
dc.date.issued2007-04-26
dc.description.abstractThe work by N. Hitchin in 1987 opened a good possibility of describing the cotangent bundle of the moduli space of stable vector bundles over a compact Riemann surface in an explicit way. He proved that the space can be foliated by a family of certain spaces, i.e., the Jacobi varieties of spectral curves. The main purpose of this dissertation is to make the realization of the Hitchin system in a concrete way in the method initiated by I. M. Krichever and to give the necessary and sufficient condition for the linearity of flows in a Lax representation in terms of cohomological classes using the similar technique and analysis from the work by P. A. Griffiths.en_US
dc.format.extent515319 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6845
dc.language.isoen_US
dc.subject.pqcontrolledMathematicsen_US
dc.titleAn Investigation on Holomorphic vector Bundles and Krichever-Lax matrices over an Algebraic curveen_US
dc.typeDissertationen_US

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