The stable Adams operations on Hermitian K-theory

Abstract

We prove that exterior powers of (skew-)symmetric bundles induce a $\lambda$-ring structure on the ring $G{W}^0(X)\oplus G{W}^2(X)$, 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.

References in corpus (1)

• Motivic and Real Etale Stable Homotopy Theory