Emergent Geometry of KP Hierarchy

被引：0
作者：
Zhou, Jian [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 01期
关键词：
KP hierarchy; tau-functions; spectral curves; INTEGRABLE HIERARCHIES; PARTITION-FUNCTION; MODULI SPACES; VOLUMES; CURVES;
D O I：
10.1007/s10114-024-1492-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We explain how to construct a quantum deformation of a spectral curve associated to a tau-function of the KP hierarchy. This construction is applied to Witten-Kontsevich tau-function to give a natural explanation of some earlier work. We also apply it to higher Weil-Petersson volumes and Witten's r-spin intersection numbers.
引用
收藏
页码：3 / 25
页数：23
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