Non-decomposable Lagrangian cobordisms between Legendrian knots

Mathematical Proceedings of the Cambridge Philosophical Society 2026 Open access

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Authors: Roman Golovko, Daniel Komárek
DOI: 10.1017/s0305004126102217
Cited by: 0
References: 16

Abstract

Abstract For a given g greater than 0 g > 0 $g\gt0$ , we construct a family of non-decomposable Lagrangian cobordisms of genus g between (stabilised) Legendrian knots in the standard contact three-sphere. The main technique we use to obstruct decomposability is based on Livingston’s estimates.

Fields of Study & Subjects

Geometric and Algebraic Topology Geometric Analysis and Curvature Flows Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Mathematical Proceedings of the Cambridge Philosophical Society
Publisher
Cambridge University Press (CUP)
Pages
1–7
Publication date
10 August 2026
Language
EN