The flow tree formula for Donaldson-Thomas invariants of quivers with potentials
Representation Theory
2022-09-16 v2 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2102.11200,
title = {The flow tree formula for Donaldson-Thomas invariants of quivers with potentials},
author = {Hülya Argüz and Pierrick Bousseau},
journal= {arXiv preprint arXiv:2102.11200},
year = {2022}
}
Comments
51 pages, 9 figures, accepted version to appear in Compositio Mathematica