KP 层次结构的新兴几何学

IF 0.8 3区 数学 Q2 MATHEMATICS Acta Mathematica Sinica-English Series Pub Date : 2024-01-15 DOI:10.1007/s10114-024-1492-z
Jian Zhou
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引用次数: 0

摘要

我们解释了如何构建与 KP 层次的 tau 函数相关的谱曲线的量子变形。我们将这一构造应用于威滕-康采维奇 tau 函数,从而自然地解释了一些早期工作。我们还将其应用于更高的魏尔-彼得森卷和威滕的 r-旋交数。
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Emergent Geometry of KP Hierarchy

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.

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来源期刊
CiteScore
1.00
自引率
0.00%
发文量
138
审稿时长
14.5 months
期刊介绍: Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.
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