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

preprint2022arXivOpen access

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.

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