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

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.

Automated summary

This study proves the flow tree formula conjectured by Alexandrov and Pioline, which allows the computation of Donaldson-Thomas invariants of quivers with potentials using a smaller set of attractor invariants.