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Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension $4$
Published 12 Jul 2024 in math.SG | (2407.09408v1)
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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