Proper groupoids and momentum maps: Linearization, affinity, and convexity

DOI10.1016/j.ansens.2006.09.002zbMath1163.22001arXivmath/0407208OpenAlexW1974988978MaRDI QIDQ3428590

Nguyen Tien Zung

Publication date: 27 March 2007

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407208

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)

Related Items (28)

Proper Lie groupoids are real analytic ⋮ The volume of a differentiable stack ⋮ Riemannian metrics on differentiable stacks ⋮ A bicategory of reduced orbifolds from the point of view of differential geometry ⋮ Lie groupoids and their orbispaces ⋮ Geodesics on Riemannian stacks ⋮ On the Hochschild homology of proper Lie groupoids ⋮ Multiplicative Ehresmann connections ⋮ Pontrjagin-Thom maps and the homology of the moduli stack of stable curves ⋮ Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems ⋮ Stratification of the transverse momentum map ⋮ Hamiltonian Lie algebroids ⋮ Orbifold Euler characteristics of non‐orbifold groupoids ⋮ The orbit space and basic forms of a proper Lie groupoid ⋮ Differentiable stratified groupoids and a de Rham theorem for inertia spaces ⋮ A geometric approach to Conn's linearization theorem ⋮ Multiplicative structures and the twisted Baum-Connes assembly map ⋮ Euler-like vector fields, normal forms, and isotropic embeddings ⋮ On invariant linearization of Lie groupoids ⋮ Fundamental groups of topological stacks with the slice property ⋮ Monodromy and faithful representability of Lie groupoids ⋮ Integrable systems, symmetries, and quantization ⋮ Orbispaces as differentiable stratified spaces ⋮ Riemannian metrics on Lie groupoids ⋮ On the role of effective representations of Lie groupoids ⋮ Orbit projections of proper Lie groupoids as fibrations ⋮ Algebraic Geometry over 𝐶^{∞}-rings ⋮ Poisson manifolds of compact types (PMCT 1)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group actions and curvature
• On the existence of slices for actions of non-compact Lie groups
• Moments and reduction for symplectic groupoids
• Convexity properties of the moment mapping
• Convexity properties of the moment mapping re-examined
• Lie group valued moment maps
• Orbifolds, sheaves and groupoids
• Levi decomposition of analytic Poisson structures and Lie algebroids.
• Integrability of Lie brackets
• Almost invariant submanifolds for compact group actions
• Linearization problems for Lie algebroids and Lie groupoids
• Integration of twisted Dirac brackets
• Convexity properties of the moment mapping. III
• Momentum maps and Morita equivalence
• Levi decomposition for smooth Poisson structures
• Poisson structures and their normal forms
• Compact groups of differentiable transformations
• Lie-Poisson Structure on Some Poisson Lie Groups
• A convexity theorem for Poisson actions of compact Lie groups
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• Covexity and multivalued Hamiltonians
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions

This page was built for publication: Proper groupoids and momentum maps: Linearization, affinity, and convexity