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Positive arborealization of polarized Weinstein manifolds

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arxiv 2011.08962 v4 pith:JE2MNDGM submitted 2020-11-17 math.SG

Daniel Alvarez-Gavela , Yakov Eliashberg , David Nadler This is my paper · ORCID
classification math.SG
keywords weinsteinexistencepositivearborealarborealizationclassequivalentfield
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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 $X$.

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Cited by 4 Pith papers

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  1. Lagrangian skeleta of very affine complete intersections

    math.SG 2025-10 conditional novelty 8.0 of 10

    The Lagrangian skeleton of an open Batyrev–Borisov complete intersection is a sphere-with-tori inside an FLTZ skeleton, yielding homological mirror symmetry at the large-volume limit.

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    Symplectic neighbourhoods of strongly coisotropic stratified subspaces are classified, up to symplectomorphism, by the stratified diffeomorphism and the induced Zariski form.

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  4. Ample divisor complements, Floer spectra, and relative Gromov-Witten theory

    math.SG 2026-01 conditional novelty 7.0 of 10

    The associated graded of the Floer homotopy type of an ample smooth divisor complement is computed, with the splitting obstruction encoded in a stable homotopy class from genus-0 relative Gromov–Witten moduli.

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