A transfer morphism for Hermitian K-theory of schemes with involution.

In this paper, we consider the Hermitian K -theory of schemes with involution, for which we construct a transfer morphism and prove a version of the dévissage theorem. This theorem is then used to compute the Hermitian K -theory of P 1 with involution given by [ X : Y ] ↦ [ Y : X ]. We also prove the C 2 -equivariant A 1 -invariance of Hermitian K -theory, which confirms the representability of Hermitian K -theory in the C 2 -equivariant motivic homotopy category of Heller, Krishna and Østvær [14]. [ABSTRACT FROM AUTHOR]