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arXiv · 2106.05675

Reeb chords of Lagrangian slices

Baptiste Chantraine
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Abstract

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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Baptiste Chantraine. 2021-06-10. Reeb chords of Lagrangian slices. https://arxiv.org/abs/2106.05675

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