Geodesic
Base change functors in the $\mathbb{A}^1$-stable homotopy category
Homology, homotopy, and applications, Tome 3 (2001) no. 2, pp. 417-451.

Voir la notice de l'article provenant de la source International Press of Boston

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 Wirthmüller isomorphism from equivariant homotopy theory in the $\mathbb{A}^1$-context.
DOI : 10.4310/HHA.2001.v3.n2.a8
Classification : 14F05, 14F42, 55P91
Keywords: $A^1$-homotopy theory, Verdier duality, Wirthmüller isomorphism, Picard group 
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     author = {Po Hu},
     title = {Base change functors in the $\mathbb{A}^1$-stable homotopy category},
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     pages = {417--451},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2001.v3.n2.a8/}
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Po Hu. Base change functors in the $\mathbb{A}^1$-stable homotopy category. Homology, homotopy, and applications, Tome 3 (2001) no. 2, pp. 417-451. doi : 10.4310/HHA.2001.v3.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2001.v3.n2.a8/

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