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arXiv · 2005.08871

The stable Adams operations on Hermitian K-theory

Jean Fasel·Olivier Haution
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Abstract

We prove that exterior powers of (skew-)symmetric bundles induce a $\lambda$-ring structure on the ring $GW^0(X) \oplus GW^2(X)$, when $X$ is a scheme where $2$ is invertible. Using this structure, we define stable Adams operations on Hermitian $K$-theory. As a byproduct of our methods, we also compute the ternary laws associated to Hermitian $K$-theory.

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Jean Fasel, Olivier Haution. 2020-05-18. The stable Adams operations on Hermitian K-theory. https://doi.org/10.2140/gt.2025.29.127

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