Brauer-Severi motives and Donaldson-Thomas invariants of quantized threefolds

被引：1
|
作者：
Le Bruyn, Lieven [1 ]
机构：
[1] Univ Antwerp, Dept Math & Comp Sci, Middelheimlaan 1, B-2020 Antwerp, Belgium
来源：
JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2018年 / 12卷 / 02期
关键词：
Motives; quantum algebras; representation theory; QUIVER;
D O I：
10.4171/JNCG/288
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motives of Brauer-Severi schemes of Cayley-smooth algebras associated to homogeneous superpotentials are used to compute inductively the motivic Donaldson-Thomas invariants of the corresponding Jacobian algebras. This approach can be used to test the conjectural exponential expressions for these invariants, proposed in [3]. As an example we confirm the second term of the conjectured expression for the motivic series of the homogenized Weyl algebra.
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页码：671 / 692
页数：22
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