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A Mirror Theorem for the Mirror Quintic.
dc.contributor.authorShoemaker, Mark Alexanderen_US
dc.date.accessioned2013-09-24T16:02:24Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2013-09-24T16:02:24Z
dc.date.issued2013en_US
dc.date.submitted2013en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/99912
dc.description.abstractThe celebrated Mirror Theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror dual orbifold. In this thesis, we establish a mirror-dual statement. Namely, the B model of the Fermat quintic threefold is shown to be equivalent to the A model of its mirror, and hence establishes mirror symmetry as a true dualityen_US
dc.language.isoen_USen_US
dc.subjectAlgebraic Geometryen_US
dc.titleA Mirror Theorem for the Mirror Quintic.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberRuan, Yongbinen_US
dc.contributor.committeememberPando Zayas, Leopoldo A.en_US
dc.contributor.committeememberMustata, Mircea Immanuelen_US
dc.contributor.committeememberFulton, Williamen_US
dc.contributor.committeememberKriz, Igoren_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/99912/1/shoemama_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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