Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots
Symplectic Geometry
2025-09-18 v1
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-dimensional sphere. More precisely, for every decomposable Lagrangian concordance from to , where are smoothly non-isotopic Legendrian knots, we construct a non-regular Lagrangian concordance from to , where both are Lagrangian fillable Legendrian knots obtained from by sufficiently many positive and negative stabilisations, followed by a sequence of Legendrian satellite operations.
Cite
@article{arxiv.2509.13594,
title = {Non-regular Lagrangian concordances between Lagrangian fillable Legendrian knots},
author = {Georgios Dimitroglou Rizell and Roman Golovko},
journal= {arXiv preprint arXiv:2509.13594},
year = {2025}
}
Comments
10 pages, 4 figures