Lecture Notes in Mathematics

A1-Algebraic Topology over a Field

Authors: Morel, Fabien

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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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-642-29514-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-642-29513-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
A1-Algebraic Topology over a Field
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2052
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-29514-0
DOI
10.1007/978-3-642-29514-0
Softcover ISBN
978-3-642-29513-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 259
Topics