Non-decomposable Lagrangian cobordisms between Legendrian knots
Symplectic Geometry
2025-11-14 v2
Abstract
For a given , we construct a family of non-decomposable Lagrangian cobordisms of genus between (stabilized) Legendrian knots in the standard contact three-sphere. The main technique we use to obstruct decomposability is based on Livingston's estimates.
Cite
@article{arxiv.2511.08731,
title = {Non-decomposable Lagrangian cobordisms between Legendrian knots},
author = {Roman Golovko and Daniel Komárek},
journal= {arXiv preprint arXiv:2511.08731},
year = {2025}
}
Comments
7 pages, 3 figures; minor corrections and included grant support details