Abstract
We use Grayson’s binary multicomplex presentation of algebraic -theory to give a new construction of exterior power operations on the higher -groups of a (quasicompact) scheme. We show that these operations satisfy the axioms of a -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 -ring on one generator.
Citation
Tom Harris. Bernhard Köck. Lenny Taelman. "Exterior power operations on higher $K$-groups via binary complexes." Ann. K-Theory 2 (3) 409 - 450, 2017. https://doi.org/10.2140/akt.2017.2.409
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