# Reeb chords of Lagrangian slices

@inproceedings{Chantraine2021ReebCO, title={Reeb chords of Lagrangian slices}, author={Baptiste Chantraine}, year={2021} }

In this short note we observe that the boundary of a properly embedded compact exact Lagrangian sub-manifold in a subcritical Weinstein domain X necessarily admits Reeb chords. The existence of a Reeb chord either follows from an obstruction to the deformation of the boundary to a cylinder over a Legendrian sub-manifold or from the fact that the wrapped Floer homology of the Lagrangian vanishes once this boundary has been “collared”.

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