开放重力下降的组合公式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-19 DOI:10.2140/gt.2023.27.2497

Ran J. Tessler

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引用次数: 18

摘要

在最近的研究中，定义了具有边界的Riemann曲面模空间上的[20]，[21]，下降积分。在[20]中推测这些积分的生成函数满足开KdV方程。在本文中，我们发展了对称Strebel-Jenkins微分和嵌入在开放曲面上的图的Kasteleyn取向的概念。此外，我们还写出了线束和的角形式的显式表达式。利用这些工具，我们证明了加权图上的和的派生积分公式。基于此公式，在[5]中证明了[20]的猜想。

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The combinatorial formula for open gravitational descendents

In recent works, [20],[21], descendent integrals on the moduli space of Riemann surfaces with boundary were defined. It was conjectured in [20] that the generating function of these integrals satisfies the open KdV equations. In this paper we develop the notions of symmetric Strebel-Jenkins differentials and of Kasteleyn orientations for graphs embedded in open surfaces. In addition we write an explicit expression for the angular form of the sum of line bundles. Using these tools we prove a formula for the descendent integrals in terms of sums over weighted graphs. Based on this formula, the conjecture of [20] was proved in [5].

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.