A categorical approach to quantum moment maps
From MaRDI portal
Publication:5004677
zbMath1468.18019arXiv1901.09031MaRDI QIDQ5004677
Publication date: 3 August 2021
Full work available at URL: https://arxiv.org/abs/1901.09031
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Braided monoidal categories and ribbon categories (18M15)
Related Items (3)
Minimal nondegenerate extensions ⋮ A categorical approach to dynamical quantum groups ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Shifted symplectic structures
- Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules.
- (Op)lax natural transformations, twisted quantum field theories, and ``even higher Morita categories
- Fusion categories and homotopy theory
- Dirac geometry, quasi-Poisson actions and D/G-valued moment maps
- Calogero-Moser systems and representation theory
- Quasi-Hamiltonian reduction via classical Chern-Simons theory
- On braided fusion categories. I
- Reflection equation algebras, coideal subalgebras, and their centres
- Poisson Lie groups, dressing transformations, and Bruhat decompositions
- On linear representations of affine groups. I
- Lie group valued moment maps
- Moment maps at the quantum level
- Manin pairs and moment maps.
- Quantum character varieties and braided module categories
- Perversely categorified Lagrangian correspondences
- The Harish-Chandra isomorphism for quantum \(\mathrm{GL}_2\)
- The balanced tensor product of module categories
- Left and right centers in quasi-Poisson geometry of moduli spaces
- The higher Morita category of \(\mathbb{E}_n\)-algebras
- Braided groups
- Hopf monads
- Quantized multiplicative quiver varieties.
- Poisson-Lie structures as shifted Poisson structures
- Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs
- Double affine Hecke algebras at roots of unity
- Lagrangian structures on mapping stacks and semi-classical TFTs
- Homotopy limits for 2-categories
- Algebraic structures related to reflection equations
- Quasi-Poisson Manifolds
- Pseudo-Kan Extensions and Descent Theory
- Integrating quantum groups over surfaces
- The Witt group of non-degenerate braided fusion categories
- The relative monoidal center and tensor products of monoidal categories
- Tensor Categories
- Reflexivity and dualizability in categorified linear algebra
- Shifted Poisson structures and deformation quantization
- A Generalization of Watts's Theorem: Right Exact Functors on Module Categories
- On dualizability of braided tensor categories
This page was built for publication: A categorical approach to quantum moment maps