On Geometric Quantization of b^m-symplectic manifolds

We study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional,...

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Detalles Bibliográficos
Autores: Miranda Galcerán, Eva|||0000-0001-9518-5279, Guillemin, Victor, Weitsman, Jonathan
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/332418
Acceso en línea:https://hdl.handle.net/2117/332418
https://dx.doi.org/10.1007/s00209-020-02590-w
Access Level:acceso abierto
Palabra clave:Topological manifolds
Varietats topològiques
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques
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spelling On Geometric Quantization of b^m-symplectic manifoldsMiranda Galcerán, Eva|||0000-0001-9518-5279Guillemin, VictorWeitsman, JonathanTopological manifoldsVarietats topològiquesÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiquesWe study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.Peer Reviewed20212021-01-0120202020-11-18journal articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/332418https://dx.doi.org/10.1007/s00209-020-02590-wreponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen 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:2117/3324182026-05-27T15:37:01Z
dc.title.none.fl_str_mv On Geometric Quantization of b^m-symplectic manifolds
title On Geometric Quantization of b^m-symplectic manifolds
spellingShingle On Geometric Quantization of b^m-symplectic manifolds
Miranda Galcerán, Eva|||0000-0001-9518-5279
Topological manifolds
Varietats topològiques
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques
title_short On Geometric Quantization of b^m-symplectic manifolds
title_full On Geometric Quantization of b^m-symplectic manifolds
title_fullStr On Geometric Quantization of b^m-symplectic manifolds
title_full_unstemmed On Geometric Quantization of b^m-symplectic manifolds
title_sort On Geometric Quantization of b^m-symplectic manifolds
dc.creator.none.fl_str_mv Miranda Galcerán, Eva|||0000-0001-9518-5279
Guillemin, Victor
Weitsman, Jonathan
author Miranda Galcerán, Eva|||0000-0001-9518-5279
author_facet Miranda Galcerán, Eva|||0000-0001-9518-5279
Guillemin, Victor
Weitsman, Jonathan
author_role author
author2 Guillemin, Victor
Weitsman, Jonathan
author2_role author
author
dc.subject.none.fl_str_mv Topological manifolds
Varietats topològiques
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques
topic Topological manifolds
Varietats topològiques
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Varietats topològiques
description We study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is odd, as in [4]; when m is even, these virtual modules are not finite dimensional, and we compute the asymptotics of the representations for large weight.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-11-18
2021
2021-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/332418
https://dx.doi.org/10.1007/s00209-020-02590-w
url https://hdl.handle.net/2117/332418
https://dx.doi.org/10.1007/s00209-020-02590-w
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
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
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 15,300719

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