Symplectic neighborhood of crossing divisors

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.

reviewed version, submitted

References in corpus (2)

• An invitation to toric degenerations
• The Smoothability of Normal Crossings Symplectic Varieties

Cited by in corpus (2)

• Cyclic actions on rational ruled symplectic four-manifolds
• Courbes symplectiques de haute auto-intersection dans les surfaces symplectiques