TY  - BOOK
AU  - Morel,Fabien
ED  - SpringerLink (Online service)
TI  - A1-Algebraic Topology over a Field
T2  - Lecture Notes in Mathematics,
SN  - 9783642295140
AV  - QA564-609 
U1  - 516.35 23
PY  - 2012///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Geometry, algebraic
KW  - K-theory
KW  - Algebraic topology
KW  - Algebraic Geometry
KW  - K-Theory
KW  - Algebraic Topology
N1  - 1 Introduction -- 2 Unramified sheaves and strongly A1-invariant sheaves -- 3 Unramified Milnor-Witt K-theories -- 4 Geometric versus canonical transfers -- 5 The Rost-Schmid complex of a strongly A1-invariant sheaf -- 6 A1-homotopy sheaves and A1-homology sheaves -- 7 A1-coverings -- 8 A1-homotopy and algebraic vector bundles -- 9 The affine B.G. property for the linear groups and the Grassmanian
N2  - This text deals with A1-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 A1-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 A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties
UR  - http://dx.doi.org/10.1007/978-3-642-29514-0
ER  -