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A1-Algebraic Topology over a Field

Fabien Morel (Autor)

Buch | Softcover

X, 259 Seiten

2012 | 2012
Springer Berlin (Verlag)
978-3-642-29513-3 (ISBN)

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This volume deals with A 1 -homotopy theory over a base field. It is a natural sequel to the foundational paper on A 1 -homotopy theory written together with V. Voevodsky. Inspired by classical algebraic topology, we present new techniques, new results and applications related to A 1 -homotopy sheaves, A 1 -homology sheaves, sheaves with generalized transfers and algebraic vector bundles.

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

Erscheint lt. Verlag	13.7.2012
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 259 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	530 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	14-XX • 14-XX; 19-XX; 55-XX • 19-XX • 55-XX • algebraic vector bundles • Milnor-Witt K-theory • Motivic homotopy theory • Sheaves with transfers
ISBN-10	3-642-29513-4 / 3642295134
ISBN-13	978-3-642-29513-3 / 9783642295133
Zustand	Neuware