paper

Non-decomposable Lagrangian cobordisms between Legendrian knots

arXiv:2511.08731

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.

7 pages, 3 figures; minor revision; it has been accepted for publication in the Mathematical Proceedings of the Cambridge Philosophical Society

Non-decomposable Lagrangian cobordisms between Legendrian knots · wovepaper