We prove that exterior powers of (skew-)symmetric bundles induce a λ-ring structure on the ring GW0.X/ ⊕ GW2.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.
Fasel, J., Haution, O. (2025). The stable Adams operations on Hermitian K-theory. GEOMETRY & TOPOLOGY, 29(1), 127-169 [10.2140/gt.2025.29.127].
The stable Adams operations on Hermitian K-theory
Haution O.Co-primo
2025
Abstract
We prove that exterior powers of (skew-)symmetric bundles induce a λ-ring structure on the ring GW0.X/ ⊕ GW2.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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