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arXiv · 2205.04853

Non-isotopic transverse tori in Engel manifolds

Marc Kegel
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Abstract

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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Marc Kegel. 2023-01-19. Non-isotopic transverse tori in Engel manifolds. https://doi.org/10.4171/rmi%2F1413

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