Exterior power operations on higher K-groups via binary complexes
| Authors |
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| Publication date |
2017
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| Journal |
Annals of K-theory
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| Volume | Issue number |
2 | 3
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| Pages (from-to) |
409-450
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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Faculty of Science (FNWI)
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| Abstract |
We use Grayson’s binary multicomplex presentation of algebraic K-theory to give a new construction of exterior power operations on the higher K-groups of a (quasicompact) scheme. We show that these operations satisfy the axioms of a λ-ring, including the product and composition laws. To prove the latter we show that the Grothendieck group of the exact category of integral polynomial functors is the universal λ-ring on one generator.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.2140/akt.2017.2.409
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