管道3流形Seiberg-Witten不变量的手术公式。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-01-01 Epub Date: 2019-05-05 DOI:10.1007/s13163-019-00297-z

Tamás László, János Nagy, András Némethi

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引用次数: 12

摘要

设M (T)是与连通负定图T相关联的有理同调球垂3流形。考虑与T相关的组合多变量庞卡罗级数及其计数函数，它们包含丰富的拓扑信息。使用级数的“周期常数”(具有与顶点集合的任意子集I相关的约简变量)，我们证明了归一化Seiberg-Witten不变量的运算公式:与I相关的周期常数表现为M (T)和M (T \ I)对任意I的Seiberg-Witten不变量的差。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds.

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Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds.

Assume that $M (T)$ is a rational homology sphere plumbed 3-manifold associated with a connected negative definite graph $T$ . We consider the combinatorial multivariable Poincaré series associated with $T$ and its counting functions, which encode rich topological information. Using the 'periodic constant' of the series (with reduced variables associated with an arbitrary subset $I$ of the set of vertices) we prove surgery formulae for the normalized Seiberg-Witten invariants: the periodic constant associated with $I$ appears as the difference of the Seiberg-Witten invariants of $M (T)$ and $M (T \ I)$ for any $I$ .

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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.