The paper gives intrinsic definitions of Type A potentials on double A_n quivers, proves monomialization and correspondence to crepant resolutions of cAn singularities, solves the Realisation Conjecture, and classifies cases for n ≤ 3.
van Garderen, Vanishing and Symmetries of BPS Invariants for CDV Singularities, arXiv:2207.13540 https://arxiv.org/abs/2207.13540
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Local forms for the double $A_n$ quiver
The paper gives intrinsic definitions of Type A potentials on double A_n quivers, proves monomialization and correspondence to crepant resolutions of cAn singularities, solves the Realisation Conjecture, and classifies cases for n ≤ 3.