A $b$-symplectic slice theorem

Abstract

In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of $b$-symplectic manifolds started in [12], we prove a slice theorem for Lie group actions on $b$-symplectic manifolds.

arXiv comment18 pages, 2 figure, final form accepted at Bulletin of the London Mathematical Society

References in corpus (8)

• Symplectic and Poisson geometry on b-manifolds
• Toric actions on b-symplectic manifolds
• Cotangent models for integrable systems
• Rigidity of Hamiltonian actions on Poisson manifolds
• On geometric quantization of $b$-symplectic manifolds
• Convexity of the moment map image for torus actions on $b^m$-symplectic manifolds
• Non-commutative integrable systems on $b$-symplectic manifolds
• Rigidity and Flexibility in Poisson Geometry

Cited by in corpus (3)

• Reduction theory for singular symplectic manifolds and singular forms on moduli spaces
• Constructions of b-semitoric systems
• Integrable systems on singular symplectic manifolds: From local to global