透镜空间中的接触映射类群和有理无结

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-06-10 DOI:10.1093/imrn/rnae121

Hyunki Min

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引用次数: 0

摘要

我们确定了透镜空间上标准接触结构的接触映射类群。为了证明主要结果，我们利用单参数凸面理论对透镜空间上任何紧密接触结构中的 Legendrian 和横向有理无结进行了分类，直至 Legendrian 和横向等距。

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The Contact Mapping Class Group and Rational Unknots in Lens Spaces

We determine the contact mapping class group of the standard contact structures on lens spaces. To prove the main result, we use the one-parametric convex surface theory to classify Legendrian and transverse rational unknots in any tight contact structure on lens spaces up to Legendrian and transverse isotopy.

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.