Spelling suggestions: "subject:"equivariant cleaves"" "subject:"équivariant cleaves""
1 |
Gluing Bridgeland's stability conditions and Z2-equivariant sheaves on curvesCollins, John, 1981- 06 1900 (has links)
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. / 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 This dissertation contains previously unpublished co-authored material. / Committee in charge: Alexander Polishchuk, Chairperson, Mathematics;
Daniel Dugger, Member, Mathematics;
Victor Ostrik, Member, Mathematics;
Brad Shelton, Member, Mathematics;
Michael Kellman, Outside Member, Chemistry
|
Page generated in 0.0655 seconds