Symplectic reduction along a submanifold

DOI10.1112/S0010437X22007710OpenAlexW3180646063MaRDI QIDQ5046053

Peter Crooks, Maxence Mayrand

Publication date: 8 November 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03198

zbMATH Keywords

symplectic reductionsymplectic groupoidMoore-Tachikawa variety

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (1)

Reduction theory for singular symplectic manifolds and singular forms on moduli spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shifted symplectic structures
• Slices to sums of adjoint orbits, the Atiyah-Hitchin manifold, and Hilbert schemes of points
• The normal form theorem around Poisson transversals
• Stable bundles and integrable systems
• Integration of holomorphic Lie algebroids
• Homogeneous quantization and multiplicities of group representations
• Quasi-Hamiltonian reduction via classical Chern-Simons theory
• Irregular and singular loci of commuting varieties
• Algebraic Hamiltonian actions
• Reduction of Poisson manifolds
• Hyperkähler metrics and supersymmetry
• Moments and reduction for symplectic groupoids
• Nilpotent classes and sheets of Lie algebras in bad characteristic
• Geometric quantization and multiplicities of group representations
• Stratified symplectic spaces and reduction
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Reduction of symplectic manifolds with symmetry
• Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
• Singular reduction and quantization
• Non-Abelian convexity by symplectic cuts
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Symplectic implosion
• On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
• Holomorphic slices, symplectic reduction and multiplicities of representations
• Symplectic cuts
• On non-Abelian symplectic cutting
• Quiver varieties and Kac-Moody algebras
• Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices
• Symplectic implosion and the Grothendieck-Springer resolution
• Poisson-Lie structures as shifted Poisson structures
• Ring objects in the equivariant derived Satake category arising from Coulomb branches
• Hyperpolygons and Hitchin Systems
• Deformations of the Lie–Poisson sphere of a compact semisimple Lie algebra
• Lagrangian structures on mapping stacks and semi-classical TFTs
• Pre-Poisson submanifolds
• On the dimension of the sheets of a reductive Lie algebra
• Coisotropic embeddings in Poisson manifolds
• Hamiltonian group actions and dynamical systems of calogero type
• Decomposition Varieties in Semisimple Lie Algebras
• On integrability of infinitesimal actions
• Equivariant homology and K-theory of affine Grassmannians and Toda lattices
• Hyperkähler Structures and Group Actions
• Symplectic groupoids and Poisson manifolds
• The Yang-Mills equations over Riemann surfaces
• An Application of Spherical Geometry to Hyperkähler Slices
• Symplectic quotients have symplectic singularities
• Stein Manifolds and Holomorphic Mappings
• Lie Group Representations on Polynomial Rings
• Implosion for hyperkähler manifolds
• Shifted Symplectic Lie Algebroids
• Non-abelian symplectic cuts and the geometric quantization of noncompact manifolds
• Hyperkähler implosion and Nahm's equations

This page was built for publication: Symplectic reduction along a submanifold