The moment graph for Bott-Samelson varieties and applications to quantum cohomology

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dc.contributor.authorWithrow, Camron Michaelen
dc.contributor.committeechairMihalcea, Constantin Leonardoen
dc.contributor.committeememberOrr, Daniel D.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.committeememberShimozono, Mark M.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2018-06-30T08:02:47Zen
dc.date.available2018-06-30T08:02:47Zen
dc.date.issued2018-06-29en
dc.description.abstractWe give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A.en
dc.description.degreePh. D.en
dc.format.mediumETDen
dc.identifier.othervt_gsexam:16266en
dc.identifier.urihttp://hdl.handle.net/10919/83820en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBott-Samelson Varietyen
dc.subjectQuantum Cohomologyen
dc.subjectMoment Graphen
dc.titleThe moment graph for Bott-Samelson varieties and applications to quantum cohomologyen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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