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  • © 2012

A1-Algebraic Topology over a Field

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 2052)

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About this book

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.

Keywords

  • 14-XX; 19-XX; 55-XX
  • Algebraic vector bundles
  • Milnor-Witt K-theory
  • Motivic homotopy theory
  • Sheaves with transfers

Authors and Affiliations

  • Institut für Mathematik, Universität München, München, Germany

    Fabien Morel

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions