Exterior power operations on higher K-groups via binary complexes
Exterior power operations on higher K-groups via binary complexes
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 (quasi-compact) scheme. We show that these operations satisfy the axioms of a lambda-ring, including the product and composition laws. To prove the composition law we show that the Grothendieck group of the exact category of integral polynomial functors is the universal lambda-ring on one generator.
409-450
Harris, Thomas
f030d37f-b4bf-4adc-bc7a-b05afe3a1655
Kock, Bernhard
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Taelman, Lenny
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Harris, Thomas
f030d37f-b4bf-4adc-bc7a-b05afe3a1655
Kock, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Taelman, Lenny
22bf7dc2-6a1a-4d87-983e-16c71a61ef03
Harris, Thomas, Kock, Bernhard and Taelman, Lenny
(2017)
Exterior power operations on higher K-groups via binary complexes.
Annals of K-Theory, 2 (3), .
(doi:10.2140/akt.2017.2.409).
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 (quasi-compact) scheme. We show that these operations satisfy the axioms of a lambda-ring, including the product and composition laws. To prove the composition law we show that the Grothendieck group of the exact category of integral polynomial functors is the universal lambda-ring on one generator.
Text
ExteriorPowers15.pdf
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Submitted date: 20 July 2016
Accepted/In Press date: 16 October 2016
e-pub ahead of print date: 1 June 2017
Organisations:
Pure Mathematics
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Local EPrints ID: 397859
URI: http://eprints.soton.ac.uk/id/eprint/397859
PURE UUID: 0b5447e7-58cd-4370-a584-8c10b68c2bff
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Date deposited: 08 Jul 2016 09:16
Last modified: 16 Mar 2024 03:22
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Author:
Thomas Harris
Author:
Lenny Taelman
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