3 papers
math.SG2026
Non-decomposable Lagrangian cobordisms between Legendrian knots
Roman Golovko, Daniel Komárek
For a given , we construct a family of non-decomposable Lagrangian cobordisms of genus between (stabilized) Legendrian knots in the standard contact three-sphere. The main…
math.SG2025
Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots
Georgios Dimitroglou Rizell, Roman Golovko
In this short note, we construct a family of non-regular, and therefore non-decomposable, Lagrangian concordances between Lagrangian fillable Legendrian knots in the standard conta…
math.SG2025
Lagrangian concordance is not a partial order in high dimensions
Roman Golovko
In this short note we provide the examples of pairs of closed, connected Legendrian non-isotopic Legendrian submanifolds of the -dimensional contact vect…