全形量子模态的代数方面

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-05 DOI:10.1007/s40687-024-00464-9

Ni An, Stavros Garoufalidis, Shana Yunsheng Li

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引用次数: 0

摘要

矩阵值全形量子模形式是与三芒星（特别是结的补集）相关的复杂对象，它出现在结的体积猜想的连续细化中，涉及三种全形、渐近和算术实现。预计这些对象的代数性质可以从子态积分的代数性质中推导出来，我们以 \((-2,3,7)\)-pretzel 结为例加以说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Algebraic aspects of holomorphic quantum modular forms

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Algebraic aspects of holomorphic quantum modular forms

Matrix-valued holomorphic quantum modular forms are intricate objects associated to 3-manifolds (in particular to knot complements) that arise in successive refinements of the volume conjecture of knots and involve three holomorphic, asymptotic and arithmetic realizations. It is expected that the algebraic properties of these objects can be deduced from the algebraic properties of descendant state integrals, and we illustrate this for the case of the \((-2,3,7)\)-pretzel knot.

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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.