4.4 Article

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

Journal

COMPOSITIO MATHEMATICA
Volume 158, Issue 12, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X22007801

Keywords

quiver representations; Donaldson-Thomas invariants; scattering diagrams

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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.
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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