Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots

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Authors: Georgios Dimitroglou Rizell, Roman Golovko
Cited by: 0

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