Central cohomology operations and K-theory

For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP opera...

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Detalles Bibliográficos
Autores: Gálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437, Whitehouse, Sarah
Tipo de recurso: informe técnico
Fecha de publicación:2012
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:2117/16857
Acceso en línea:https://hdl.handle.net/2117/16857
Access Level:acceso abierto
Palabra clave:Homology theory
K-theory
Cohomologia
K-teoria
Classificació AMS::55 Algebraic topology::55S Operations and obstructions
Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories
Classificació AMS::19 K-theory::19L Topological K-theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
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spelling Central cohomology operations and K-theoryGálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437Whitehouse, SarahHomology theoryK-theoryCohomologiaK-teoriaClassificació AMS::55 Algebraic topology::55S Operations and obstructionsClassificació AMS::55 Algebraic topology::55N Homology and cohomology theoriesClassificació AMS::19 K-theory::19L Topological K-theoryÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraicaFor stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. Here we show that, in the additive unstable context, this result holds with BP replaced by BP<n> for any n. Thus, for all chromatic heights, the only central operations are those coming from K-theory20122012-04-0120122012-11-07reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/16857reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/168572026-05-27T15:37:01Z
dc.title.none.fl_str_mv Central cohomology operations and K-theory
title Central cohomology operations and K-theory
spellingShingle Central cohomology operations and K-theory
Gálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437
Homology theory
K-theory
Cohomologia
K-teoria
Classificació AMS::55 Algebraic topology::55S Operations and obstructions
Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories
Classificació AMS::19 K-theory::19L Topological K-theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
title_short Central cohomology operations and K-theory
title_full Central cohomology operations and K-theory
title_fullStr Central cohomology operations and K-theory
title_full_unstemmed Central cohomology operations and K-theory
title_sort Central cohomology operations and K-theory
dc.creator.none.fl_str_mv Gálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437
Whitehouse, Sarah
author Gálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437
author_facet Gálvez Carrillo, Maria Immaculada|||0000-0002-8338-0437
Whitehouse, Sarah
author_role author
author2 Whitehouse, Sarah
author2_role author
dc.subject.none.fl_str_mv Homology theory
K-theory
Cohomologia
K-teoria
Classificació AMS::55 Algebraic topology::55S Operations and obstructions
Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories
Classificació AMS::19 K-theory::19L Topological K-theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
topic Homology theory
K-theory
Cohomologia
K-teoria
Classificació AMS::55 Algebraic topology::55S Operations and obstructions
Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories
Classificació AMS::19 K-theory::19L Topological K-theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica
description For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. Here we show that, in the additive unstable context, this result holds with BP replaced by BP<n> for any n. Thus, for all chromatic heights, the only central operations are those coming from K-theory
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-04-01
2012
2012-11-07
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/16857
url https://hdl.handle.net/2117/16857
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.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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