稳定性条件和Stokes因子
Stability conditions and Stokes factors
摘要：
设A是复有限维代数上的模范畴。我们证明了A上的稳定性条件空间参数化了P^1上的一个值在A的Hall代数中的非正则联络的同构族。这些联络的留数由D在A中构造的计数不变量的全纯生成函数给出。Joyce.
英文摘要：
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.
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