Non-commutative integrable systems on b-symplectic manifolds

Autor:	Miranda Galcerán, Eva, Kiesenhofer, Anna
Přispěvatelé:	Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Geometria diferencial Symplectic Geometry Matemàtiques i estadística::Geometria::Geometria diferencial [Àrees temàtiques de la UPC] Mathematics::Symplectic Geometry Geometry Differencial
Zdroj:	UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Recercat. Dipósit de la Recerca de Catalunya instname
Popis:	In this paper we study non-commutative integrable systems on b-Poisson manifolds. One important source of examples (and motiva- tion) of such systems comes from considering non-commutative systems on manifolds with boundary having the right asymptotics on the boundary. In this paper we describe this and other examples and we prove an action-angle theorem for non-commutative integrable systems on a b-symplectic manifold in a neighbourhood of a Liouville torus inside the critical set of the Poisson structure associated to the b-symplectic structure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a56a5fdca5f23a346ad25687918f834f http://hdl.handle.net/2117/88884 Zobrazit plný text záznamu