Base change functors in the ${\mathbb A}^1$-stable homotopy category

Po Hu

We relate base change functors of sheaves in ${\mathbb A}^1$-homotopy theory to group change functors from equivariant homotopy theory, and use these functors to construct elements of the Picard group of the ${\mathbb A}^1$-stable homotopy category. We also prove an analogue of the Wirthm\"{u}ller isomorphism from equivariant homotopy theory in the ${\mathbb A}^1$-context.

Homology, Homotopy and Applications, Vol. 3(2), 2001, pp. 417-451

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