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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01s1784k857
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dc.contributor.advisorOkounkov, Andreien_US
dc.contributor.authorMcBreen, Michael Benen_US
dc.contributor.otherMathematics Departmenten_US
dc.date.accessioned2013-09-16T17:25:36Z-
dc.date.available2013-09-16T17:25:36Z-
dc.date.issued2013en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01s1784k857-
dc.description.abstractThis thesis compares two geometric constructions of a Yangian, due to Varagnolo and Nakajima on the one hand and Maulik and Okounkov on the other. It also, separately, computes the quantum cohomology of smooth hypertoric varieties, and nds a mirror formula for their quantum connection. It contains brief introductions to the background material for both problems.en_US
dc.language.isoenen_US
dc.publisherPrinceton, NJ : Princeton Universityen_US
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the <a href=http://catalog.princeton.edu> library's main catalog </a>en_US
dc.subjectMirror Symmetryen_US
dc.subjectQuantum Cohomologyen_US
dc.subjectQuiver varietyen_US
dc.subjectSymplectic Resolutionen_US
dc.subjectYangianen_US
dc.subject.classificationMathematicsen_US
dc.titleQuantum Cohomology of Hypertoric Varieties and Geometric Representations of Yangiansen_US
dc.typeAcademic dissertations (Ph.D.)en_US
pu.projectgrantnumber690-2143en_US
Appears in Collections:Mathematics

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