论文标题
$ \ overline {\ Mathcal M} _ {g，n} $和BKP层次结构上的交点号
Intersection numbers on $\overline {\mathcal M}_{g,n}$ and BKP hierarchy
论文作者
论文摘要
在他们最近的鼓舞人心的论文中，米罗夫（Mironov）和莫罗佐夫（Morozov）在kontsevich-witten的tau功能方面，就Schur Q-intrunctions而言，这是一个令人惊讶的简单扩展公式。在这里，我们为Brézin-Gross-Witten Tau功能提供了类似的猜想。此外，我们确定了KDV层次结构的两个tau功能，这些函数描述了刺破的Riemann表面的模量空间上的相交数，以及BKP层次结构的超几何解。
In their recent inspiring paper Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar conjecture for the Brézin-Gross-Witten tau-function. Moreover, we identify both tau-functions of the KdV hierarchy, which describe intersection numbers on the moduli spaces of punctured Riemann surfaces, with the hypergeometric solutions of the BKP hierarchy.
