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Reeb chords of Lagrangian slices

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 نشر من قبل Baptiste Chantraine
 تاريخ النشر 2021
  مجال البحث
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In this short note we observe that the boundary of a properly embedded compact exact Lagrangian sub-manifolds in a subcritical Weinstein domain $X$ necessarily admits Reeb chords. The existence of this Reeb chords 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 have been collared.



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