- Symmetry and Symplectic Reduction🔍
- Videos & Slides🔍
- Poisson Geometry and Applications🔍
- The Breadth of Symplectic and Poisson Geometry🔍
- Convexity of the moment map image for torus actions on bm ...🔍
- Modular classes of Poisson maps🔍
- Newest 'poisson|geometry' Questions🔍
- 7.2 Poisson manifolds and their characteristics🔍
The Momentum Map In Poisson Geometry
Symmetry and Symplectic Reduction - PhilSci-Archive
... geometric interpretation of Noether's theorem for Poisson manifolds. Let g act canonically on a Poisson manifold M and assume there exists a momentum map. J ...
Videos & Slides | 2023 “Gone Fishing” Poisson Geometry Conference
Li-Sheng Tseng. Title: A Cone Story for Symplectic Manifolds. Abstract: I will motivate the use of pairs of differential forms with a map linking them to study ...
Poisson Geometry and Applications
This workshop concentrated on some of the major areas of Poisson geometry and its applications. Topics covered included moment maps, global Poisson geometry.
The Breadth of Symplectic and Poisson Geometry - Google Books
One of the world's foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, ...
Convexity of the moment map image for torus actions on bm ...
2014. Symplectic and Poisson geometry on b-manifolds. Adv. Math. 264, 864–896. ( 10.1016/j.aim.2014.07.032) [DOI] [Google Scholar]; 3. Guillemin V, Miranda E ...
Modular classes of Poisson maps - Publish
Note that a Poisson map, in general, does not induce a map in Poisson cohomology. ... Ratiu, The momentum map in Poisson geometry,. Amer. J. of Math. 131, no. 5 ...
Newest 'poisson-geometry' Questions - Mathematics Stack Exchange
Given a Poisson manifold (M,{⋅,⋅}) and any function f∈C∞(M), the corresponding flow of the hamiltonian vector field Xf at some instant τ, this is, $\phi^\tau_{ ...
7.2 Poisson manifolds and their characteristics - Fiveable
Poisson Tensor: A Poisson tensor is a bilinear, skew-symmetric map that defines a Poisson bracket on a smooth manifold, enabling the formulation ...
Stratification of the transverse momentum map
For other (more Poisson geometric) constructions of this local model, see. [CM12, Mar13]. The local model for the symplectic groupoid is built ...
Ratiu. Momentum Maps and Hamiltonian. Reduction. 1st ed. Progress in Mathematics 222. Birkhäuser Basel, 2004. Juan-Pablo Ortega, Tudor S ...
Rigidity and Flexibility in Poisson Geometry 1 Introduction
Recall that a Lie groupoid G ⇒ M is called proper if the map (s, t) : G →. M × M is a proper map. We propose the following definitions: Definition 3.1. A ...
Moment Maps, Cobordisms, and Hamiltonian Group Actions
Ginzburg, Equivariant Poisson cohomology and a spectral sequence associated with a moment map, Internat. ... Montgomery, Geometric quantization and no-go theorems ...
Momentum map reduction for nonholonomic systems - IOPscience
Momentum map reduction for nonholonomic systems, Paula Balseiro ... Poisson Geometry, Progress in Mathematics vol 232 pp 75–120. Google ...
Symmetries of Hamiltonian systems on symplectic and Poisson ...
This text presents some basic notions in symplectic geometry, Poisson geometry ... Poisson manifolds, momentum maps and their use for the reduction of Hamiltonian
Master Class in Geometry, Topology and Physics - NCCR SwissMAP
Equivariant symplectic geometry or moment map theory is the field built ... Poisson geometry, or the geometry of Poisson brackets, is a natural generalization of ...
LIE ALGEBROIDS, LIE GROUPOIDS AND POISSON GEOMETRY ...
The aim was to introduce symplectic groupoids, Hamiltonian actions of these groupoids and how this generalises other moment map theories. The ...
Award # 0306665 - Geometric Structures in Poisson Geometry and ...
theory of Morita equivalence to investigate a geometric model of unified momentum map theory. He will also study stacks and gerbes from the viewpoint of ...
Moment maps and geometric invariant theory. - rutgers math
In particular the coadjoint action is. Poisson-Hamiltonian with moment map the identity, and the sym- plectic leaves are the coadjoint orbits. Thus as observed ...
Papers with Code - Lectures on Symplectic Geometry, Poisson ...
... moment maps and symplectic reduction. The third chapter gives an introduction to Poisson geometry where we also cover Courant structures ...
Moment maps in multisymplectic geometry
The Poisson bracket for Poisson forms in multisymplectic field theory. Reviews in Mathematical Physics,. 15(07):705–743, 2003. [18] Y. Frégier, C. Laurent ...