Non-commutative integrable systems on $b$-symplectic manifolds
| Autor: | Eva Miranda, Anna Kiesenhofer |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Integrable system Geometria diferencial Varietats diferenciables Poisson manifoldsb-symplectic manifoldsnoncommutative integrable systemsaction-angle coordinates Structure (category theory) Boundary (topology) b-symplectic manifolds 01 natural sciences Varietats topològiques Mathematics (miscellaneous) Poisson manifold 0103 physical sciences FOS: Mathematics Poisson manifolds 0101 mathematics noncommutative integrable Commutative property Mathematics::Symplectic Geometry Mathematics Differentiable manifolds action-angle coordinates 010102 general mathematics Matemàtiques i estadística::Topologia::Varietats topològiques [Àrees temàtiques de la UPC] Torus Manifold noncommutative integrable systems Mathematics - Symplectic Geometry Topological manifolds Poisson distribution Symplectic Geometry (math.SG) systems 010307 mathematical physics Poisson Distribució de Geometry Differencial Symplectic geometry Enginyeria mecànica::Mecànica de fluids [Àrees temàtiques de la UPC] |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya instname UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | In this paper we study noncommutative integrable systems on b-Poisson manifolds. One important source of examples (and motivation) of such systems comes from considering noncommutative systems on manifolds with boundary having the right asymptotics on the boundary. In this paper we describe this and other examples and prove an action-angle theorem for noncommutative integrable systems on a b-symplectic manifold in a neighborhood of a Liouville torus inside the critical set of the Poisson structure associated to the b-symplectic structure. |
| Databáze: | OpenAIRE |
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