论文标题
墙壁交叉公式的分析性和复兴
Analyticity and resurgence in wall-crossing formulas
论文作者
论文摘要
我们介绍了关于圆环上向量场的Lie代数的分析稳定性数据的概念。我们证明，在所有稳定性数据的拓扑空间中，分析稳定性数据的子空间是开放和封闭的。我们制定了一个一般的猜想，该猜想解释了分析稳定性数据如何产生复兴序列。在几个示例中检查了此猜想。
We introduce the notion of analytic stability data on the Lie algebra of vector fields on a torus. We prove that the subspace of analytic stability data is open and closed in the topological space of all stability data. We formulate a general conjecture which explains how analytic stability data give rise to resurgent series. This conjecture is checked in several examples.
