(HoRSe seminar) Quiver mutations and stability conditions

(HoRSe seminar) Quiver mutations and stability conditions

Tue, 23/02/2010
14:00 		Kentaro Nagao (Oxford and Kyoto) Algebraic and Symplectic Geometry Seminar Add to calendar SR1
(HoRSe seminar) Quiver mutations and stability conditions
Let $ (Q',w') $ be a quiver with a potential given by successive mutations from a quiver with a potential $ (Q,w) $. Then we have an equivalence of the derived categories of dg-modules over the Ginzburg dg-algebras satisfying the following condition: a simple module over the dg-algebra for $ (Q',w') $ is either concentrated on degree 0 or concentrated on degree 1 as a dg-module over the dg-algebra for $ (Q,w) $. As an application of this equivalence, I will give a description of the space of stability conditions.