Workshop
Decomposing quiver moduli - a QuiverTools showcase
- Gianni Petrella
Abstract
We consider the moduli space of stable representations of a quiver and find a partial analogue of the semiorthogonal decomposition of the moduli space of vector bundles on curves.
More precisely, we embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, and show by explicit computations their semiorthogonality. This gives the start of a semiorthogonal decomposition.
Our results are obtained with QuiverTools, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties.