A1-algebraic topology over a field

This text deals with A<sup>1</sup>-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 A<sup>...

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Detalles Bibliográficos
Autor principal: Morel, Fabien
Lenguaje:eng
Publicado: Springer 2012
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-29514-0
http://cds.cern.ch/record/1691800
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author Morel, Fabien
author_facet Morel, Fabien
author_sort Morel, Fabien
collection CERN
description This text deals with A<sup>1</sup>-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 A<sup>1</sup>-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 A<sup>1</sup>-homotopy sheaves, A<sup>1</sup>-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2012
publisher Springer
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spelling cern-16918002021-04-21T21:06:58Zdoi:10.1007/978-3-642-29514-0http://cds.cern.ch/record/1691800engMorel, FabienA1-algebraic topology over a fieldMathematical Physics and MathematicsThis text deals with A<sup>1</sup>-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 A<sup>1</sup>-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 A<sup>1</sup>-homotopy sheaves, A<sup>1</sup>-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.Springeroai:cds.cern.ch:16918002012
spellingShingle Mathematical Physics and Mathematics
Morel, Fabien
A1-algebraic topology over a field
title A1-algebraic topology over a field
title_full A1-algebraic topology over a field
title_fullStr A1-algebraic topology over a field
title_full_unstemmed A1-algebraic topology over a field
title_short A1-algebraic topology over a field
title_sort a1-algebraic topology over a field
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-29514-0
http://cds.cern.ch/record/1691800
work_keys_str_mv AT morelfabien a1algebraictopologyoverafield

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