Central cohomology operations and K-theory
For stable degree 0 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 operati...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| 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:2117/23645 |
| Acceso en línea: | https://hdl.handle.net/2117/23645 https://dx.doi.org/10.1017/S0013091513000680 |
| Access Level: | acceso abierto |
| Palabra clave: | Homology theory K-theory Operations Cobordism 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 |
| Sumario: | For stable degree 0 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. |
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