Stability conditions and Stokes factors

• 成果类型: Article
• 署名作者: Bridgeland, Tom; Laredo, Valerio Toledano
• 署名单位: University of Oxford; Northeastern University; Institute for Advanced Study - USA
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0329-4
• 发表日期: 2012
• 页码: 61-98
• 关键词: abelian categories; INVARIANTS; configurations; ALGEBRAS

摘要

Let A be the category of modules over a complex, finite-dimensional algebra. We show that the space of stability conditions on A parametrises an isomonodromic family of irregular connections on P-1 with values in the Hall algebra of A. The residues of these connections are given by the holomorphic generating function for counting invariants in A constructed by D. Joyce (in Geom. Topol. 11, 667-725, 2007).