\mathfrak{gl}_2 foams and the Khovanov homotopy type

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-14 DOI:10.1512/iumj.2023.72.9307

Vyacheslav Krushkal, Paul Wedrich

引用次数: 3

Abstract

The Blanchet link homology theory is an oriented model of Khovanov homology, functorial over the integers with respect to link cobordisms. We formulate a stable homotopy refinement of the Blanchet theory, based on a comparison of the Blanchet and Khovanov chain complexes associated to link diagrams. The construction of the stable homotopy type relies on the signed Burnside category approach of Sarkar-Scaduto-Stoffregen.

查看原文本刊更多论文

\mathfrak{gl}_2泡沫与霍瓦诺夫同伦型

Blanchet链同源性理论是Khovanov同源性的一个有向模型，它是关于链共序的整数上的函数。在比较Blanchet和Khovanov链复合物与连接图的基础上，我们对Blanchet理论进行了稳定的同源精化。稳定同构型的构造依赖于Sarkar Scaduto Stoffregen的符号Burnside范畴方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.