Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots
Abstract
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 contact 3 3 -dimensional sphere. More precisely, for every decomposable Lagrangian concordance from Λ − \Lambda _- to Λ + \Lambda _+ , where Λ ± \Lambda _{\pm } are smoothly non-isotopic Legendrian knots, we construct a non-regular Lagrangian concordance from Λ + ′ \Lambda ’_+ to Λ − ′ \Lambda ’_- , where both Λ ± ′ \Lambda ’_\pm are Lagrangian fillable Legendrian knots obtained from Λ ± \Lambda _{\pm } by sufficiently many positive and negative stabilisations, followed by a sequence of Legendrian satellite operations.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 13 August 2026
- Language
- EN