Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface

TL;DR

This paper investigates the chamber structure of the positive cone in the Albanese fiber of moduli spaces of stable objects on abelian surfaces, linking it to stability conditions.

Contribution

It establishes a connection between the chamber structure of stability conditions and the geometric structure of moduli spaces on abelian surfaces.

Findings

Describes the chamber structure of the positive cone.

Relates chamber structure to stability conditions.

Provides insights into the geometry of moduli spaces.

Abstract

We shall study the chamber structure of positive cone of the albanese fiber of the moduli spaces of stable objects on an abelian surfaces via the chamber structure of stability conditions.