A smooth compactification of spaces of stability conditions: the case of the $A_{n}$ -quiver

Abstract

We propose a notion of multi-scale stability conditions with the goal of providing a smooth compactification of the quotient of the space of projectivized Bridgeland stability conditions by the group of autoequivalence. For the case of the 3CY category associated with the $A_n$ -quiver, this goal is achieved by defining a topology and complex structure that relies on a plumbing construction.

Keywords

• 18G80
• 16G20
• 54D35