Bridgeland stability condition

In mathematics, and especially algebraic geometry, a Bridgeland stability condition is an algebro-geometric stability condition defined on elements of a triangulated category. Stability conditions serve a two-fold purpose in the theory - first, the space of all stability conditions on the triangulated category carries the structure of a complex manifold, thus furnishing an invariant of the category that is topological in nature.

Source: Wikipedia — Bridgeland stability condition (CC BY-SA 4.0)