Non-decomposable Lagrangian cobordisms between Legendrian knots

Summary · qwen2.5:32b

Researchers have constructed a family of non-decomposable Lagrangian cobordisms of any genus $g>0$ between stabilized Legendrian knots in the standard contact three-sphere, utilizing Livingston's estimates to prove their non-decomposability.

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Discovering new Lagrangian cobordisms between Legendrian knots in contact three-sphere.

Excerpt

arXiv:2511.08731v3 Announce Type: replace Abstract: For a given $g>0$, we construct a family of non-decomposable Lagrangian cobordisms of genus $g$ between (stabilized) Legendrian knots in the standard contact three-sphere. The main technique we use to obstruct decomposability is based on Livingston's estimates.