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

共 50 条

[41] Localizations for quiver Hecke algebras
Kashiwara, Masaki
Kim, Myungho
Oh, Se-Jin
Park, Euiyong
PURE AND APPLIED MATHEMATICS QUARTERLY, 2021, 17 (04) : 1465 - 1548
[42] RIGIDITY OF TRUNCATED QUIVER ALGEBRAS
CIBILS, C
ADVANCES IN MATHEMATICS, 1990, 79 (01) : 18 - 42
[43] Geometric realizations of quiver algebras
Orlov, Dmitri O.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2015, 290 (01) : 70 - 83
[44] Quiver varieties and Hall algebras
Scherotzke, Sarah
Sibilla, Nicolo
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2016, 112 : 1002 - 1018
[45] Noncommutative geometry and quiver algebras
Crawley-Boevey, William
Etingof, Pavel
Ginzburg, Victor
ADVANCES IN MATHEMATICS, 2007, 209 (01) : 274 - 336
[46] Quiver W-algebras
Taro Kimura
Vasily Pestun
Letters in Mathematical Physics, 2018, 108 : 1351 - 1381
[47] Homomorphisms between different quantum toroidal and affine Yangian algebras
Bershtein, Mikhail
Tsymbaliuk, Alexander
JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (02) : 867 - 899
[48] Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras
Davison, Ben
Meinhardt, Sven
INVENTIONES MATHEMATICAE, 2020, 221 (03) : 777 - 871
[49] Quiver W-algebras
Kimura, Taro
Pestun, Vasily
LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (06) : 1351 - 1381
[50] Quiver algebras as Fukaya categories
Smith, Ivan
GEOMETRY & TOPOLOGY, 2015, 19 (05) : 2557 - 2617

← 1 2 3 4 5 →