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Central cohomology operations and K-theory
dc.contributor.author | Gálvez Carrillo, Maria Immaculada |
dc.contributor.author | Whitehouse, Sarah |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2012-11-07T15:18:08Z |
dc.date.available | 2012-11-07T15:18:08Z |
dc.date.created | 2012-04 |
dc.date.issued | 2012-04 |
dc.identifier.citation | Galvez, M.; Whitehouse, S. "Central cohomology operations and K-theory". 2012. |
dc.identifier.uri | http://hdl.handle.net/2117/16857 |
dc.description.abstract | 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 |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica |
dc.subject.lcsh | Homology theory |
dc.subject.lcsh | K-theory |
dc.title | Central cohomology operations and K-theory |
dc.type | External research report |
dc.subject.lemac | Cohomologia |
dc.subject.lemac | K-teoria |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::55 Algebraic topology::55S Operations and obstructions |
dc.subject.ams | Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories |
dc.subject.ams | Classificació AMS::19 K-theory::19L Topological K-theory |
dc.relation.publisherversion | http://arxiv.org/abs/1204.3025 |
dc.rights.access | Open Access |
local.identifier.drac | 11023232 |
dc.description.version | Preprint |
local.citation.author | Galvez, M.; Whitehouse, S. |
local.citation.publicationName | Central cohomology operations and K-theory |
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