论文标题

Riemann Sphere的固定Gromov-witten不变的矩阵模型

Matrix models for stationary Gromov-Witten invariants of the Riemann sphere

论文作者

Bertola, Marco, Ruzza, Giulio

论文摘要

受Dubrovin,Yang和Zagier的最新公式的启发,我们解释了$ \ Mathbb {p}^1 $的均值固定的Gromov-witten不变性,为与差异方程相关的异构粒子tau函数。作为副产品,我们获得了此tau函数的kontsevich矩阵模型的类似物。还考虑了与Charlier合奏的联系。

Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating stationary Gromov-Witten invariants of $\mathbb{P}^1$ as an isomonodromic tau function associated with a difference equation. As a byproduct we obtain an analogue of the Kontsevich matrix model for this tau function. A connection with the Charlier ensemble is also considered.

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