特殊三次Hodge积分的环路方程

IF 1.3 1区数学 Q1 MATHEMATICS

Journal of Differential Geometry Pub Date : 2018-11-26 DOI:10.4310/jdg/1659987894

Si‐Qi Liu, Di Yang, You-jin Zhang, C. Zhou

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引用次数: 1

摘要

作为证明最近在[17]中提出的Hodge-FVH对应关系的第一步，我们导出了特殊三次Hodge积分的Virasoro约束和Dubrovin-Chang循环方程。我们证明了这个循环方程有一个唯一的解，并为这些Hodge积分的计算提供了一个新的算法。我们还证明了特殊三次Hodge自由能存在间隙现象。

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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The loop equation for special cubic Hodge integrals

As the first step of proving the Hodge-FVH correspondence recently proposed in [17], we derive the Virasoro constraints and the Dubrovin-Zhang loop equation for special cubic Hodge integrals. We show that this loop equation has a unique solution, and provide a new algorithm for the computation of these Hodge integrals. We also prove the existence of gap phenomenon for the special cubic Hodge free energies.

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来源期刊

Journal of Differential Geometry 数学-数学

CiteScore

3.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.