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arXiv · 2407.09408

Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$

Emmanuel Opshtein·Felix Schlenk
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Abstract

The main theme of this paper is the introduction of a new type of polarizations, suited for some open symplectic manifolds, and their applications. These applications include symplectic embedding results that answer a question by Sackel-Song-Varolgunes-Zhu and Brendel, new Lagrangian non-removable intersections at small scales, and a novel phenomenon of Legendrian barriers in contact geometry.

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Emmanuel Opshtein, Felix Schlenk. 2024-07-12. Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$. https://arxiv.org/abs/2407.09408

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