A1-Algebraic Topology over a Field

Fabien Morel (Autor)

Buch | Softcover

X, 259 Seiten

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

Infos

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.

Inhalt

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

Produkt-Details

• 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