Quantum Annular Homology and Bigger Burnside Categories

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-01 DOI:10.1007/s00009-024-02693-2

Federico Cantero Morán, Sergio García-Rodrigo, Marithania Silvero

引用次数: 0

Abstract

As part of their construction of the Khovanov spectrum, Lawson, Lipshitz and Sarkar assigned to each cube in the Burnside category of finite sets and finite correspondences, a finite cellular spectrum. In this paper, we extend this assignment to cubes in Burnside categories of infinite sets. This is later applied to the work of Akhmechet, Krushkal and Willis on the quantum annular Khovanov spectrum with an action of a finite cyclic group: we obtain a quantum annular Khovanov spectrum with an action of the infinite cyclic group.

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量子环同构与更大的伯恩赛德范畴

作为霍瓦诺夫谱构造的一部分，劳森、利普希茨和萨卡尔为有限集和有限对应集的伯恩赛德范畴中的每个立方体分配了一个有限蜂窝谱。在本文中，我们将这一赋值扩展到无限集的伯恩赛德范畴中的立方体。这后来被应用到阿克梅切、克鲁什卡尔和威利斯关于有限循环群作用的量子环霍瓦诺夫谱的研究中：我们得到了无限循环群作用的量子环霍瓦诺夫谱。

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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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.