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The
stable Adams operations on Hermitian $K$-theory
Jean Fasel and Olivier Haution |
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Geometry & Topology 29 (2025) 127–169
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Abstract |
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We prove that exterior powers of (skew-)symmetric bundles induce a -ring structure on the ring , when is a scheme where is invertible. Using this structure, we define stable Adams operations on Hermitian -theory. As a byproduct of our methods, we also compute the ternary laws associated to Hermitian -theory. |
Keywords
Hermitian K-theory, Grothendieck–Witt groups, Adams
operations, $lambda$-rings
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Mathematical Subject Classification
Primary: 14C35, 14F42, 19E15
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References |
Publication
Received: 2 February 2022
Revised: 8 September 2023
Accepted: 7 December 2023
Published: 1 January 2025
Proposed: Stefan Schwede
Seconded: Haynes R Miller, Marc Levine
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Authors |
| Jean Fasel | |
| Institut Fourier - UMR 5582 Université Grenoble Alpes, CNRS Grenoble France |
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| https://www-fourier.univ-grenoble-alpes.fr/~faselj/ | |
| Olivier Haution | |
| Mathematisches Institut Ludwig-Maximilians-Universität München München Germany |
Dipartimento di Matematica e
Applicazioni Università degli Studi di Milano-Bicocca Milano Italy |
| https://haution.gitlab.io/ | |
| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
