Stability conditions for preprojective algebras and root systems of Kac-Moody Lie algebras

Abstract

The aim of this paper is to study the space of stability conditions on the bounded derived category of nilpotent modules over the preprojective algebra associated with a quiver without loops. We describe this space as a covering space of some open set determined by the root system of the Kac-Moody Lie algebra associated with the quiver.

22 pages

References in corpus (1)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Cited by in corpus (2)

• A Thurston compactification of the space of stability conditions
• A Frobenius manifold for $\ell$-Kronecker quiver