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Positive arborealization of polarized Weinstein manifolds

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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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Weinstein neighbourhood theorems for stratified subspaces

math.SG · 2025-07-07 · conditional · novelty 8.0

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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  • Weinstein neighbourhood theorems for stratified subspaces math.SG · 2025-07-07 · conditional · none · ref 1 · internal anchor

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