通过 LLV 代数衍生出的超凯勒流形类别。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 Epub Date: 2022-06-21 DOI:10.1007/s00032-022-00358-x

T Beckmann

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引用次数: 0

摘要

我们主要回顾了泰尔曼（Derived equivalences of hyperkähler varieties, 2019, arXiv:1906.08081）关于超凯勒流形派生范畴的工作。我们利用多向量场研究 LLV 代数，证明它是一个派生不变量。我们还给出了派生等价物对同调的作用及其霍奇结构研究的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra.

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Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra.

We mostly review work of Taelman (Derived equivalences of hyperkähler varieties, 2019, arXiv:1906.08081) on derived categories of hyper-Kähler manifolds. We study the LLV algebra using polyvector fields to prove that it is a derived invariant. Applications to the action of derived equivalences on cohomology and to the study of their Hodge structures are given.

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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.