Non-isotopic transverse tori in Engel manifolds

Marc Kegel ^[1]
1. [1] Humboldt University of Berlin
  
  Humboldt University of Berlin
  
  Berlin, Stadt, Alemania
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 1, 2024, págs. 43-56
Idioma: inglés
DOI: 10.4171/RMI/1413
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Resumen
- 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.