A1-Algebraic Topology over a Field

von Fabien Morel

259 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

This text deals with A
1
-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A
1
-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A
1
-homotopy sheaves, A
1
-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783642295133
• Sprache: Englisch
• Erscheinungsdatum: 13.07.2012
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin