A^1-algebraic topology over a field

Fabien Morel

AMS Classification numbers: 14F05, 19E15, 55P

Fabien Morel
Mathematisches Institut
der Universität München
Theresienstr. 39
D-80333 München

Fabien Morel <morel@mathematik.uni-muenchen.de>


Text of Abstract:

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In this work we prove some basic results in the context of
A1-homotopy theory of smooth schemes over a field k : the analogue
of the Brouwer degree, the Hurewicz theorem, the theory of
A1-coverings and its relationship to the fundamental A1-homotopy
sheaf, and some fundamental computations involving unramified
Milnor-Witt K-theory like the fundamental A1-homotopy sheaves of
P^n and SL_n .

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