Non-commutative integrable systems on bsymplectic manifolds
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...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2016 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | Catalan |
| OAI Identifier: | oai:upcommons.upc.edu:2117/106379 |
| Online Access: | https://hdl.handle.net/2117/106379 https://dx.doi.org/10.1134/S1560354716060058 |
| Access Level: | Open access |
| Keyword: | Topological manifolds Poisson manifolds b-symplectic manifolds noncommutative integrable systems action-angle coordinates Varietats topològiques Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques |
| Summary: | 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. |
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