# 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

Available as: dvi dvi.gz ps ps.gz pdf