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dc.contributor.authorMahmood, Fatimaen_US
dc.identifier.otherbibid: 7959749
dc.description.abstractIn the first part of this thesis, we generalize the notion of a Jacobi bracket on the algebra of smooth functions on a manifold to the notion of a Jacobi bracket on an abstract commutative algebra. We also prove certain useful properties of the Jacobi structure on a contact manifold. In the second part of this thesis, we develop a de Rham model for stratified spaces resulting from contact reduction. We show that the contact form induces a form on the quotient, and investigate the properties of the reduced contact form. We also describe a Jacobi bracket on the algebra of 0-forms on the singular contact quotient.en_US
dc.subjectContact Geometryen_US
dc.subjectJacobi Structuresen_US
dc.titleJacobi Structures And Differential Forms On Contact Quotientsen_US
dc.typedissertation or thesisen_US Universityen_US of Philosophy D., Mathematics
dc.contributor.chairSjamaar, Reyeren_US
dc.contributor.committeeMemberBerest, Yurien_US
dc.contributor.committeeMemberHolm, Tara S.en_US

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