论文标题
恩格尔歧管中的非同位素横向托里
Non-isotopic transverse tori in Engel manifolds
论文作者
论文摘要
在每个Engel歧管中，我们构建了一个无限的成对非同位素横向托里家族，这些家族都是平稳的同位素。为了区分家族中的横向托里，我们引入了横向托里的同源不变，该横向摩tori类似于接触3个manifolds中横向结的自连接数。在接触4个manifolds中，传奇人托里（Legendrian Tori）提出了类似的结果。
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.
