On the large genus asymptotics of Weil-Petersson volumes
On the large genus asymptotics of Weil-Petersson volumes
复制标题
关于 Weil-Petersson 卷的大属渐进
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
P. Zograf
中科院分区：
文献类型：
--
作者：
P. Zograf
提出了一种求复代数曲线的模空间的Weil-Petersson体积的较快算法。在数值数据的基础上，计算了Weil-Petersson体积的一个猜想的大亏格渐近性。还猜想了涉及$\psi$-类的交数的渐近公式。这些公式的精确度很高，足以相信它们是准确的。
A relatively fast algorithm for evaluating Weil-Petersson volumes of moduli spaces of complex algebraic curves is proposed. On the basis of numerical data, a conjectural large genus asymptotics of the Weil-Petersson volumes is computed. Asymptotic formulas for the intersection numbers involving $\psi$-classes are conjectured as well. The precision of the formulas is high enough to believe that they are exact.