Quiver moduli and quantized Donaldson-Thomas type invariants

箭袋模量和量化 Donaldson-Thomas 型不变量

• 批准号: 219373365
• 负责人: Professor Dr. Markus Reineke
• 金额: --
• 依托单位: Lehrstuhl Algebra (Prof. Reineke)
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2015-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/219373365?language=en
• 关键词: Quiver; moduli; quantized; Donaldson; Thomas

The central aims of the project are the explicit computation of quantized Donaldson- Thomas type invariants for quivers with stability and superpotential, the continuation of the categorification programme of M. Kontsevich and Y. Soibelman for quantized Donaldson-Thomas type invariants in terms of Cohomological Hall algebras, the exploration of the relation between quantized Donaldson- Thomas type invariants and (refinements of) Kac polynomials with a view towards the Kac conjecture, and the geometrization of the GW/Kronecker correspondence between Gromov-Witten invariants of toric surfaces and DT type invariants of quivers.

该项目的中心目标是对具有稳定性和超势的颤动的量化唐纳森-托马斯型不变量进行显式计算，延续 M. Kontsevich 和 Y. Soibelman 根据上同调霍尔对量化唐纳森-托马斯型不变量的分类程序代数，探索量化的 Donaldson-Thomas 型不变量和 Kac 多项式（的细化）之间的关系对 Kac 猜想的看法，以及复曲面的 Gromov-Witten 不变量和箭袋的 DT 型不变量之间的 GW/Kronecker 对应关系的几何化。