REDUCED QUIVER QUANTUM TOROIDAL ALGEBRAS

被引：0

作者：

Negut, Andrei ^{[1
,2
]}

机构：

[1] Ecole Polytech Fed Lausanne, Inst Math, Lausanne, Switzerland

[2] Sim Stoilow Inst Math, Bucharest, Romania

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2025年 / 24卷 / 02期

关键词：

BPS algebras; quiver quantum toroidal algebras; K-theoretic Hall algebras; toric Calabi-Yau threefolds;

D O I：

10.1017/S1474748024000306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：341 / 369

页数：29

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