Higher-order orbifold Euler characteristics for compact Lie group actions

We generalize the notions of the orbifold Euler characteristic and of the higher-order orbifold Euler characteristics to spaces with actions of a compact Lie group using integration with respect to the Euler characteristic instead of the summation over finite sets. We show that the equation for the...

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Detalles Bibliográficos
Autores: Gusein-Zade, Sabir Medgidovich, Luengo Velasco, Ignacio, Melle Hernández, Alejandro
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24292
Acceso en línea:https://hdl.handle.net/20.500.14352/24292
Access Level:acceso abierto
Palabra clave:515.14
Lie group actions
orbifold Euler characteristic
wreath products
generating series
Topología
1210 Topología
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spelling Higher-order orbifold Euler characteristics for compact Lie group actionsGusein-Zade, Sabir MedgidovichLuengo Velasco, IgnacioMelle Hernández, Alejandro515.14Lie group actionsorbifold Euler characteristicwreath productsgenerating seriesTopología1210 TopologíaWe generalize the notions of the orbifold Euler characteristic and of the higher-order orbifold Euler characteristics to spaces with actions of a compact Lie group using integration with respect to the Euler characteristic instead of the summation over finite sets. We show that the equation for the generating series of the kth-order orbifold Euler characteristics of the Cartesian products of the space with the wreath products actions proved by Tamanoi for finite group actions and by Farsi and Seaton for compact Lie group actions with finite isotropy subgroups holds in this case as wellCambridge University PressUniversidad Complutense de Madrid20152015-12-0120152015-12-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/24292reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/242922026-06-02T12:44:21Z
dc.title.none.fl_str_mv Higher-order orbifold Euler characteristics for compact Lie group actions
title Higher-order orbifold Euler characteristics for compact Lie group actions
spellingShingle Higher-order orbifold Euler characteristics for compact Lie group actions
Gusein-Zade, Sabir Medgidovich
515.14
Lie group actions
orbifold Euler characteristic
wreath products
generating series
Topología
1210 Topología
title_short Higher-order orbifold Euler characteristics for compact Lie group actions
title_full Higher-order orbifold Euler characteristics for compact Lie group actions
title_fullStr Higher-order orbifold Euler characteristics for compact Lie group actions
title_full_unstemmed Higher-order orbifold Euler characteristics for compact Lie group actions
title_sort Higher-order orbifold Euler characteristics for compact Lie group actions
dc.creator.none.fl_str_mv Gusein-Zade, Sabir Medgidovich
Luengo Velasco, Ignacio
Melle Hernández, Alejandro
author Gusein-Zade, Sabir Medgidovich
author_facet Gusein-Zade, Sabir Medgidovich
Luengo Velasco, Ignacio
Melle Hernández, Alejandro
author_role author
author2 Luengo Velasco, Ignacio
Melle Hernández, Alejandro
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.14
Lie group actions
orbifold Euler characteristic
wreath products
generating series
Topología
1210 Topología
topic 515.14
Lie group actions
orbifold Euler characteristic
wreath products
generating series
Topología
1210 Topología
description We generalize the notions of the orbifold Euler characteristic and of the higher-order orbifold Euler characteristics to spaces with actions of a compact Lie group using integration with respect to the Euler characteristic instead of the summation over finite sets. We show that the equation for the generating series of the kth-order orbifold Euler characteristics of the Cartesian products of the space with the wreath products actions proved by Tamanoi for finite group actions and by Farsi and Seaton for compact Lie group actions with finite isotropy subgroups holds in this case as well
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-12-01
2015
2015-12-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/24292
url https://hdl.handle.net/20.500.14352/24292
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869403054487371776
score 15,301603

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