no code implementations • 30 Apr 2018 • Alastair King, Yu Qiu
In the case that arises from an (unpunctured) marked surface, where the exchange graph is modelled on the graph of triangulations of the marked surface, we show that the universal cover of this groupoid can be constructed using the covering graph of triangulations of the surface with extra decorations.
Geometric Topology Algebraic Geometry Dynamical Systems Representation Theory
no code implementations • 13 Sep 2011 • Alastair King, Yu Qiu
We study the oriented exchange graph $\textrm{EG}^\circ(\Gamma_{N}\, Q)$ of reachable hearts in the finite-dimensional derived category $\mathcal{D}(\Gamma_{N}\, Q)$ of the CY-$N$ Ginzburg algebra $\Gamma_{N}Q$ associated to an acyclic quiver $Q$.
Representation Theory
