dc.contributor.author |
Collins, John, 1981- |
|
dc.date.accessioned |
2010-02-25T23:49:36Z |
|
dc.date.available |
2010-02-25T23:49:36Z |
|
dc.date.issued |
2009-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/10218 |
|
dc.description |
vi, 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.abstract |
We 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 This dissertation contains previously unpublished co-authored material.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.sponsorship |
Committee in charge: Alexander Polishchuk, Chairperson, Mathematics;
Daniel Dugger, Member, Mathematics;
Victor Ostrik, Member, Mathematics;
Brad Shelton, Member, Mathematics;
Michael Kellman, Outside Member, Chemistry |
en_US |
dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
en_US |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2009; |
|
dc.subject |
Stability conditions |
en_US |
dc.subject |
Equivariant sheaves |
en_US |
dc.subject |
Derived categories |
en_US |
dc.subject |
Elliptic curve |
en_US |
dc.subject |
Mathematics |
en_US |
dc.title |
Gluing Bridgeland's stability conditions and Z2-equivariant sheaves on curves |
en_US |
dc.type |
Thesis |
en_US |