The flow tree formula for Donaldson-Thomas invariants of quivers with potentials

Abstract

We prove the flow tree formula conjectured by Alexandrov and Pioline which computes Donaldson-Thomas invariants of quivers with potentials in terms of a smaller set of attractor invariants. This result is obtained as a particular case of a more general flow tree formula reconstructing a consistent scattering diagram from its initial walls.

arXiv comment51 pages, 9 figures, accepted version to appear in Compositio Mathematica