Autoequivalences, stability conditions, and n-gons : an example of how stability conditions illuminate the action of autoequivalences associated to derived categories

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dc.contributor.advisorBen-Zvi, David, 1974-en
dc.contributor.committeeMemberFreed, Danielen
dc.contributor.committeeMemberUhlenbeck, Karenen
dc.contributor.committeeMemberAllcock, Danielen
dc.contributor.committeeMemberDistler, Jacquesen
dc.creatorLowrey, Parker Eastinen
dc.date.accessioned2010-10-05T14:27:35Zen
dc.date.accessioned2010-10-05T14:27:41Zen
dc.date.accessioned2017-05-11T22:20:19Z
dc.date.available2010-10-05T14:27:35Zen
dc.date.available2010-10-05T14:27:41Zen
dc.date.available2017-05-11T22:20:19Z
dc.date.issued2010-05en
dc.date.submittedMay 2010en
dc.date.updated2010-10-05T14:27:41Zen
dc.descriptiontexten
dc.description.abstractUnderstanding the action of an autoequivalence on a triangulated category is generally a very difficult problem. If one can find a stability condition for which the autoequivalence is "compatible", one can explicitly write down the action of this autoequivalence. In turn, the now understood autoequivalence can provide ways of extracting geometric information from the stability condition. In this thesis, we elaborate on what it means for an autoequivalence and stability condition to be "compatibile" and derive a sufficiency criterion.en
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2010-05-986en
dc.language.isoengen
dc.subjectCategory theoryen
dc.subjectAlgebraic geometryen
dc.subjectDerived categoriesen
dc.subjectModuli spacesen
dc.subjectAutoequivalencesen
dc.subjectN-gonsen
dc.subjectStability conditionsen
dc.titleAutoequivalences, stability conditions, and n-gons : an example of how stability conditions illuminate the action of autoequivalences associated to derived categoriesen
dc.type.genrethesisen

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