REDUCED QUIVER QUANTUM TOROIDAL ALGEBRAS
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.
Authors
- Andrei Neguţ (ORCID: https://orcid.org/0000-0002-1622-8638)
Institutions
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- Journal of the Institute of Mathematics of Jussieu
- Published
- 2024-11-07
- DOI
- https://doi.org/10.1017/s1474748024000306
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00