Non-isotopic transverse tori in Engel manifolds

被引：0
作者：
Kegel, Marc [1 ]
机构：
[1] Humboldt Univ, Rudower Chaussee 25, D-12489 Berlin, Germany
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2024年 / 40卷 / 01期
关键词：
Engel manifolds; transverse tori; linking of tori; OVERTWISTED CONTACT STRUCTURES; CLASSIFICATION; EXISTENCE;
D O I：
10.4171/RMI/1413
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In every Engel manifold, we construct an infinite family of pairwise nonisotopic 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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页码：43 / 56
页数：14
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