Engel流形中的非同位素横向tori

IF 1.3 2区数学 Q1 MATHEMATICS Revista Matematica Iberoamericana Pub Date : 2022-05-10 DOI:10.4171/rmi/1413

M. Kegel

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引用次数: 1

摘要

在每个恩格尔流形中，我们构造了一个有限的成对非同位素横向复曲面族，这些复曲面都是光滑的同位素。为了区分族中的横向复曲面，我们引入了横向复曲面的同调不变量，该不变量类似于接触3-流形中横向节点的自连接数。给出了Legendarian tori在偶接触4-流形中的类似结果。

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Non-isotopic transverse tori in Engel manifolds

. In every Engel manifold we construct an inﬁnite family of pairwise non-isotopic transverse tori that are all smoothly isotopic. To distinguish the transverse tori in the family we introduce a homological invariant of transverse tori that is similar to the self-linking number for transverse knots in contact 3-manifolds. Analogous results are presented for Legendrian tori in even contact 4-manifolds.

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来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.

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