|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
The
stable Adams operations on Hermitian $K$-theory
Jean Fasel and Olivier Haution |
|
Geometry & Topology 29 (2025) 127–169
|
|
DOI: 10.2140/gt.2025.29.127
|
Abstract |
|
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
|
Mathematical Subject Classification
Primary: 14C35, 14F42, 19E15
|
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
|
Authors |
| Jean Fasel | |
| Institut Fourier - UMR 5582 Université Grenoble Alpes, CNRS Grenoble France |
|
| 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). |
This article is currently available only to readers at paying institutions. If enough institutions subscribe to this Subscribe to Open journal for 2025, the article will become Open Access in early 2025. Otherwise, this article (and all 2025 articles) will be available only to paid subscribers.
