Autoequivalences, stability conditions, and n-gons : an example of how stability conditions illuminate the action of autoequivalences associated to derived categories
dc.contributor.advisor | Ben-Zvi, David, 1974- | en |
dc.contributor.committeeMember | Freed, Daniel | en |
dc.contributor.committeeMember | Uhlenbeck, Karen | en |
dc.contributor.committeeMember | Allcock, Daniel | en |
dc.contributor.committeeMember | Distler, Jacques | en |
dc.creator | Lowrey, Parker Eastin | en |
dc.date.accessioned | 2010-10-05T14:27:35Z | en |
dc.date.accessioned | 2010-10-05T14:27:41Z | en |
dc.date.accessioned | 2017-05-11T22:20:19Z | |
dc.date.available | 2010-10-05T14:27:35Z | en |
dc.date.available | 2010-10-05T14:27:41Z | en |
dc.date.available | 2017-05-11T22:20:19Z | |
dc.date.issued | 2010-05 | en |
dc.date.submitted | May 2010 | en |
dc.date.updated | 2010-10-05T14:27:41Z | en |
dc.description | text | en |
dc.description.abstract | Understanding 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.mimetype | application/pdf | en |
dc.identifier.uri | http://hdl.handle.net/2152/ETD-UT-2010-05-986 | en |
dc.language.iso | eng | en |
dc.subject | Category theory | en |
dc.subject | Algebraic geometry | en |
dc.subject | Derived categories | en |
dc.subject | Moduli spaces | en |
dc.subject | Autoequivalences | en |
dc.subject | N-gons | en |
dc.subject | Stability conditions | en |
dc.title | Autoequivalences, stability conditions, and n-gons : an example of how stability conditions illuminate the action of autoequivalences associated to derived categories | en |
dc.type.genre | thesis | en |