通过弗罗贝尼乌斯流形的 GUE。I. 从矩阵引力到拓扑引力再到拓扑引力

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-01-05 DOI:10.1007/s10114-024-2258-3

Di Yang

引用次数: 0

摘要

杜布罗文在复射线的 GUE 分区函数和格罗莫夫-维滕不变式的分区函数之间建立了某种关系。在本文中，我们给出了杜布罗文结果的直接证明。我们还以图表的形式介绍了拓扑引力和矩阵引力的最新进展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back

Dubrovin establishes a certain relationship between the GUE partition function and the partition function of Gromov–Witten invariants of the complex projective line. In this paper, we give a direct proof of Dubrovin’s result. We also present in a diagram the recent progress on topological gravity and matrix gravity.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

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.