Corpus ID: 235390828

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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