投影空间圆盘切线束的 Hofer-Zehnder 容量

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Johanna Bimmermann
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引用次数: 0

摘要

我们计算任意维度的复投影空间和实投影空间的圆盘切线束的 Hofer-Zehnder 容量。圆盘束是相对于傅比尼-斯图迪(Fubini-Study)和圆度量而言的,但我们可以为任何其他度量获得明确的边界。在复投影空间中,我们还计算了磁扭曲情况下的 Hofer-Zehnder 容量,其中扭曲与 Fubini-Study 形式成正比。对于任意扭曲,我们仍然可以给出明确的上限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Hofer–Zehnder capacity of disc tangent bundles of projective spaces

Hofer–Zehnder capacity of disc tangent bundles of projective spaces

We compute the Hofer–Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini–Study resp. round metric, but we can obtain explicit bounds for any other metric. In the case of the complex projective space, we also compute the Hofer–Zehnder capacity for the magnetically twisted case, where the twist is proportional to the Fubini–Study form. For arbitrary twists, we can still give explicit upper bounds.

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来源期刊
Accounts of Chemical Research
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.
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