The Momentum Map In Poisson Geometry

[0705.0562] The momentum map in Poisson geometry - arXiv

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum ...

The Momentum Map in Poisson Geometry - jstor

Symplectic leaves of the strata. 2.5. An example. 3. Momentum maps of Poisson actions. 3.1. Symplectization of a Poisson manifold ...

The momentum map in Poisson geometry - Project MUSE

Poisson geometry of the isotropy type manifolds. 2.3. Poisson stratifications. 2.4. Symplectic leaves of the strata. 2.5. An example. 3. Momentum maps of ...

(PDF) The Momentum Map In Poisson Geometry - ResearchGate

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined ...

THE MOMENTUM MAP IN POISSON GEOMETRY By RUI LOJA ...

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined ...

The Momentum Map In Poisson Geometry - Infoscience - EPFL

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined ...

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.

Is this true lemma in the proof of momentum map $J$ is a Poisson ...

Not the answer you're looking for? Browse other questions tagged. lie-groups · lie-algebras · symplectic-geometry · poisson-geometry · moment- ...

Geometry of the momentum map - Mathematics

1We will deal with symplectic manifolds rather than the more general Poisson manifolds. 2. Page 3. because ω is closed. Definition 1.2. Suppose ...

7.4 Examples and applications of Poisson geometry - Fiveable

Poisson geometry is a powerful tool in classical mechanics, offering a framework for describing Hamiltonian systems and analyzing symmetries ...

Moment maps in various geometries

of Fourier integral operators. Moment maps and Poisson geometry. Poisson manifolds are manifolds M equipped with a Poisson bracket {·,·} on the algebra of ...

[1203.4112] On the classical and quantum momentum map - arXiv

We focus on the notion of momentum map in Poisson geometry and we discuss the classification of the momentum map in this framework.

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.

Momentum maps and matrix poisson brackets. - MathOverflow

Sorry if i've not given enough context, please ask. Thanks for any help. sg.symplectic-geometry · dg.differential-geometry · mp.mathematical- ...

On the Classical and Quantum Momentum Map

Poisson geometry was introduced by Lie in [32] as. 1. Page 12. Introduction a geometrization of Poisson's studies of classical mechanics [46].

(PDF) On the classical and quantum momentum map - ResearchGate

We focus on the notion of momentum map in Poisson geometry and we discuss the classification of the momentum map in this framework. Furthermore, we describe the ...

Momentum maps and integrability in noncommutative (quasi ...

Momentum maps and integrability in noncommutative (quasi-)Poisson geometry. MAXIME FAIRON. UNIVERSITY OF LEEDS, SCHOOL OF MATHEMATICS. REFERENCES. [CF1] Chalykh ...

Poisson geometry* - ScienceDirect.com

I apologize for all the relevant citations which have been omitted. 2. Poisson manifolds and maps. Since the bracket { f, g} of functions on a Poisson manifold ...

moment map in nLab

A momentum map is a dual incarnation of a Hamiltonian action of a Lie group (or Lie algebra) on a symplectic manifold.

Momentum Maps, Dual Pairs and Reduction in Deformation ...

Hence g∗ and M/G have closely related Poisson geometry. This motivates the following definition [30]. Let M be a symplectic manifold and let P1,P2 be Poisson ...