Gluing Bridgeland's stability conditions and Z2-equivariant sheaves on curves

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dc.contributor.authorCollins, John, 1981-
dc.date.accessioned2010-02-25T23:49:36Z
dc.date.available2010-02-25T23:49:36Z
dc.date.issued2009-06
dc.descriptionvi, 85 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.en_US
dc.description.abstractWe define and study a gluing procedure for Bridgeland stability conditions in the situation where a triangulated category has a semiorthogonal decomposition. As one application, we construct an open, contractible subset U in the stability manifold of the derived category [Special characters omitted.] of [Special characters omitted.] -equivariant coherent sheaves on a smooth curve X , associated with a degree 2 map X [arrow right] Y , where Y is another curve. In the case where X is an elliptic curve we construct an open, connected subset in the stability manifold using exceptional collections containing the subset U . We also give a new proof of the constructibility of exceptional collections on [Special characters omitted.] . This dissertation contains previously unpublished co-authored material.en_US
dc.description.sponsorshipCommittee in charge: Alexander Polishchuk, Chairperson, Mathematics; Daniel Dugger, Member, Mathematics; Victor Ostrik, Member, Mathematics; Brad Shelton, Member, Mathematics; Michael Kellman, Outside Member, Chemistryen_US
dc.identifier.urihttps://hdl.handle.net/1794/10218
dc.language.isoen_USen_US
dc.publisherUniversity of Oregonen_US
dc.relation.ispartofseriesUniversity of Oregon theses, Dept. of Mathematics, Ph. D., 2009;
dc.subjectStability conditionsen_US
dc.subjectEquivariant sheavesen_US
dc.subjectDerived categoriesen_US
dc.subjectElliptic curveen_US
dc.subjectMathematicsen_US
dc.titleGluing Bridgeland's stability conditions and Z2-equivariant sheaves on curvesen_US
dc.typeThesisen_US

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