8 citations · 9 across the 5 of their papers we have counts for
7 papers
Spaces of Bridgeland stability conditions in representation theory
Anna Barbieri
The space of Bridgeland stability conditions is a complex manifold that can be attached to a triangulated category, of which it encodes some homological properties. These notes are…
A smooth compactification of spaces of stability conditions: the case of the -quiver
Anna Barbieri, Martin Möller, Jeonghoon So
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 cond…
Quadratic differentials as stability conditions: collapsing subsurfaces
Anna Barbieri, Martin Möller, Yu Qiu +1
We introduce a new class of triangulated categories, which are Verdier quotients of three-Calabi-Yau categories from (decorated) marked surfaces, and show that its spaces of stabil…
A quantized Riemann-Hilbert problem in Donaldson-Thomas theory
Anna Barbieri, Tom Bridgeland, Jacopo Stoppa
We introduce Riemann-Hilbert problems determined by refined Donaldson-Thomas theory. They involve piecewise holomorphic maps from the complex plane to the group of automorphisms of…
A Riemann-Hilbert problem for uncoupled BPS structures
Anna Barbieri
We study the Riemann-Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in "Riemann-Hilbert problems from Donaldson-Thomas theory". We show that it has "…
A construction of Frobenius manifolds from stability conditions
Anna Barbieri, Jacopo Stoppa, Tom Sutherland
A finite quiver without loops or 2-cycles defines a 3CY triangulated category and a finite heart . We show that if satisfies some (strong) conditions then the…
Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property
Anna Barbieri, Jacopo Stoppa
We rephrase some well-known results in Donaldson-Thomas theory in terms of (formal families of) Frobenius type and CV-structures on a vector bundle in the sense of Hertling. We stu…