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Reduced quiver quantum toroidal algebras

Published 2 Jan 2023 in hep-th, math-ph, math.MP, and math.QA | (2301.00703v4)

Abstract: We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated to) X, modulo torsion.

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