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...

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Detalles Bibliográficos
Autores: Miranda Galcerán, Eva|||0000-0001-9518-5279, Kiesenhoferb, Anna
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:catalán
OAI Identifier:oai:upcommons.upc.edu:2117/106379
Acceso en línea:https://hdl.handle.net/2117/106379
https://dx.doi.org/10.1134/S1560354716060058
Access Level:acceso abierto
Palabra clave: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
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spelling Non-commutative integrable systems on bsymplectic manifoldsMiranda Galcerán, Eva|||0000-0001-9518-5279Kiesenhoferb, AnnaTopological manifoldsPoisson manifoldsb-symplectic manifoldsnoncommutative integrable systemsaction-angle coordinatesVarietats topològiquesÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiquesIn 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.Peer Reviewed20162016-01-0120172017-07-13journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/2117/106379https://dx.doi.org/10.1134/S1560354716060058reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)CataláncatMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 MTM2015-69135-P GEOMETRIA Y TOPOLOGIA DE VARIEDADES, ALGEBRA Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1063792026-05-27T15:37:01Z
dc.title.none.fl_str_mv Non-commutative integrable systems on bsymplectic manifolds
title Non-commutative integrable systems on bsymplectic manifolds
spellingShingle Non-commutative integrable systems on bsymplectic manifolds
Miranda Galcerán, Eva|||0000-0001-9518-5279
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
title_short Non-commutative integrable systems on bsymplectic manifolds
title_full Non-commutative integrable systems on bsymplectic manifolds
title_fullStr Non-commutative integrable systems on bsymplectic manifolds
title_full_unstemmed Non-commutative integrable systems on bsymplectic manifolds
title_sort Non-commutative integrable systems on bsymplectic manifolds
dc.creator.none.fl_str_mv Miranda Galcerán, Eva|||0000-0001-9518-5279
Kiesenhoferb, Anna
author Miranda Galcerán, Eva|||0000-0001-9518-5279
author_facet Miranda Galcerán, Eva|||0000-0001-9518-5279
Kiesenhoferb, Anna
author_role author
author2 Kiesenhoferb, Anna
author2_role author
dc.subject.none.fl_str_mv 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
topic 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
description 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.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2017
2017-07-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/106379
https://dx.doi.org/10.1134/S1560354716060058
url https://hdl.handle.net/2117/106379
https://dx.doi.org/10.1134/S1560354716060058
dc.language.none.fl_str_mv Catalán
cat
language_invalid_str_mv Catalán
language cat
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://doi.org/10.13039/501100003329 MTM2015-69135-P GEOMETRIA Y TOPOLOGIA DE VARIEDADES, ALGEBRA Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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