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arXiv · 2608.27316

Non-decomposable Lagrangian endoconcordances and Khovanov homology

Roman Golovko
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Abstract

In this note, we construct non-decomposable Lagrangian endoconcordances of Legendrian knots. We prove that for any positive integer k, there exist a (stabilised) Legendrian knot and a Lagrangian fillable Legendrian knot in the standard contact 3-sphere, each admitting at least k pairwise Hamiltonian non-isotopic relative boundary, non-decomposable Lagrangian endoconcordances. The obstruction to decomposability that we rely on is based on Khovanov homology.

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Roman Golovko. 2026-08-27. Non-decomposable Lagrangian endoconcordances and Khovanov homology. https://arxiv.org/abs/2608.27316

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