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Symplectic neighborhood of crossing divisors

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arxiv 1611.02363 v2 pith:G3CDJZ3M submitted 2016-11-08 math.SG math.DG

Roberta Guadagni This is my paper · ORCID
classification math.SGmath.DG
keywords symplecticcoordinatesneighborhoodstandardactingchosencompactcrossing
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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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  1. Weinstein neighbourhood theorems for stratified subspaces

    math.SG 2025-07 conditional novelty 8.0 of 10

    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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