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Symplectic neighborhood of crossing divisors

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abstract

This paper presents a proof of the existence of standard symplectic coordinates near a set of smooth, orthogonally intersecting symplectic submanifolds. It is a generalization of the standard symplectic neighborhood theorem. Moreover, in the presence of a compact Lie group $G$ acting symplectically, the coordinates can be chosen to be $G$-equivariant.

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2025 1

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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 11 · internal anchor

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