- Momentum map and Reduction in Poisson geometry and ...🔍
- [0705.0562] The momentum map in Poisson geometry🔍
- Momentum Mappings And Reduction of Poisson Actions🔍
- The Momentum Map in Poisson Geometry🔍
- Is this true lemma in the proof of momentum map $J$ is a Poisson ...🔍
- The momentum map in Poisson geometry🔍
- [1203.4112] On the classical and quantum momentum map🔍
- On the Classical and Quantum Momentum Map — University of ...🔍
Momentum map and Reduction in Poisson geometry and ...
Momentum map and Reduction in Poisson geometry and ... - D-MATH
1 Momentum map in Poisson geometry. Motivations. Hamiltonian actions. 2 Poisson Reduction. 3 Quantization of Hamiltonian action. Approach.
[0705.0562] The momentum map in Poisson geometry - arXiv
Abstract: Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a ...
Momentum Mappings And Reduction of Poisson Actions
An action σ: G × P→P of a Poisson Lie group G on a Poisson manifold P is called a Poisson action if σ is a Poisson map.
The Momentum Map in Poisson Geometry - jstor
From Poisson actions to Hamiltonian actions. 3.3. Examples. 4. Symplectization and reduction. 4.1. G-actions on symplectic groupoids. 4.2 ...
Is this true lemma in the proof of momentum map $J$ is a Poisson ...
Your claim that for all f∈C∞(g∗) and x∈M, JdJ(x)f(x)=f(J(x)). is not true. For instance, if f≡1 then the LHS is zero, while the RHS is equal ...
The momentum map in Poisson geometry - Mathematics Department
From Poisson actions to Hamiltonian actions. 3.3. Examples. 4. Symplectization and reduction. 4.1. G-actions on symplectic groupoids. 4.2 ...
[1203.4112] On the classical and quantum momentum map - arXiv
In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry.
Momentum Mappings And Reduction of Poisson Actions
An action σ: G × P→P of a Poisson Lie group G on a Poisson manifold P is called a Poisson action if σ is a Poisson map. It is believed that Poisson actions ...
(PDF) The Momentum Map In Poisson Geometry - ResearchGate
∈ X(M) denotes the infinitesimal generator of the action for ξ ∈ g. Theorem 1.2 (Symplectization commutes with reduction). L ...
On the Classical and Quantum Momentum Map — University of ...
In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry and ...
Momentum Maps, Dual Pairs and Reduction in Deformation ...
The discussion above can be carried out in the more general setting of actions on Poisson manifolds [8, Sect. 7]. Equivariant momentum maps play a fundamental ...
(PDF) On the classical and quantum momentum map - ResearchGate
PDF | In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson.
THE MOMENTUM MAP IN POISSON GEOMETRY By RUI LOJA ...
... which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction.
Momentum maps and reduction in algebraic geometry - ScienceDirect
This survey article discusses how the geometry and topology of symplectic reductions at coadjoint orbits vary as the orbit varies.
The Momentum Map In Poisson Geometry - Infoscience - EPFL
... action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction
In mathematics, specifically in symplectic geometry, the momentum map is a tool associated with a Hamiltonian action of a Lie group on a symplectic manifold ...
Symmetry and reduction in Poisson geometry - ICTP - Indico [Home]
Lecture II: Poisson reduction. • Lecture III: Momentum maps. Normal forms. • Lecture IV: Symplectic reduction. Regular and singular.
Moment maps in various geometries
of Fourier integral operators. Moment maps and Poisson geometry ... Lu, Momentum mappings and reduction of Poisson actions, Symplectic geometry, groupoids,.
See at Hamiltonian vector field – Relation to Poisson bracket. Hamiltonian action and momentum map. Let ( ...
7.4 Examples and applications of Poisson geometry - Fiveable
Poisson reduction technique simplifies mechanical ... Moment Map: A tool in symplectic geometry that associates a moment (or momentum) ...