The space of Bridgeland stability conditions on a triangulated category is a complex manifold. We propose a compactification of the stability space via a continuous map to an infinite projective space. Under suitable conditions, we conjecture that the compactification is a real manifold with boundary, on which the action of the autoequivalence group of the category extends continuously. We focus on 2-Calabi-Yau categories associated to quivers, and prove our conjectures in the A2 and affine A1 cases.
This is joint work with Anand Deopurkar and Anthony Licata.
This talk relates to this arXiv paper.
This video is part of the University of Georgia‘s Algebra seminar.
