Curvature operators and rational cobordism

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-30 DOI:10.1016/j.aim.2024.109995

Renato G. Bettiol , McFeely Jackson Goodman

引用次数: 0

Abstract

We determine linear inequalities on the eigenvalues of curvature operators that imply vanishing of the twisted

\hat{A}

genus on a closed Riemannian spin manifold, where the twisting bundle is any prescribed parallel bundle of tensors. These inequalities yield surgery-stable curvature conditions tailored to annihilate further rational cobordism invariants, such as the Witten genus, elliptic genus, signature, and even the rational cobordism class itself.

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曲率算子和有理共线性

我们确定了曲率算子特征值上的线性不等式，这些不等式意味着封闭黎曼自旋流形上的扭曲 Aˆ 属消失，其中扭曲束是任何规定的张量平行束。这些不等式产生了手术稳定曲率条件，这些条件专门用于湮灭更多的有理共线性不变式，例如维滕属、椭圆属、签名，甚至有理共线性类本身。

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.