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REDUCED QUIVER QUANTUM TOROIDAL ALGEBRAS

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  07 November 2024

Andrei Neguţ Open the ORCID record for Andrei Neguţ [Opens in a new window]
Andrei Neguţ*
Affiliation:
EPFL, Institute of Mathematics, Lausanne, Switzerland and Simion Stoilow Institute of Mathematics, Bucharest, Romania
*
andrei.negut@gmail.com
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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 (noncompact) 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.

Keywords

BPS algebrasquiver quantum toroidal algebrasK-theoretic Hall algebrastoric Calabi-Yau threefolds

MSC classification

Primary: 17B81: Applications to physics
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 24 , Issue 2 , March 2025 , pp. 341 - 369
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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