Positive arborealization of polarized Weinstein manifolds

Abstract

Let $X$ be a Weinstein manifold. We show that the existence of a global field of Lagrangian planes in $TX$ is equivalent to the existence of a positive arboreal skeleton for the Weinstein homotopy class of $X$.

arXiv comment97 pages, 50 figures

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• Covariantly functorial wrapped Floer theory on Liouville sectors
• Duality between Lagrangian and Legendrian invariants
• Wrapped microlocal sheaves on pairs of pants
• Liouville hypersurfaces and connect sum cobordisms
• Non-characteristic expansions of Legendrian singularities
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Cited by in corpus (1)

• Homological mirror symmetry at large volume