同调预因子代数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-24 DOI:10.1007/s40687-024-00456-9

Najib Idrissi, Eugene Rabinovich

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引用次数: 0

摘要

我们应用操作数科斯祖尔对偶性理论，提供了彩色操作数的共纤解析，其代数是固定空间 M 上的前因式分解代数。这使我们能够描述前因式分解代数直到同调的概念，以及这些对象之间直到同调的态量。我们明确了几个特殊 M 的这些概念，如某些有限拓扑空间或实线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Homotopy prefactorization algebras

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Homotopy prefactorization algebras

We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras on a fixed space M. This allows us to describe a notion of prefactorization algebra up to homotopy as well as morphisms up to homotopy between such objects. We make explicit these notions for several special M, such as certain finite topological spaces, or the real line.

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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.