Non-decomposable Lagrangian cobordisms between Legendrian knots

arXiv Math

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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.

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Non-decomposable Lagrangian cobordisms between Legendrian knots

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