%0 Journal Article
%T Comparing Euler classes
%A Aravind Asok
%A Jean Fasel
%J Mathematics
%D 2013
%I arXiv
%X We establish the equality of two definitions of an Euler class in algebraic geometry: the first definition is as a "characteristic class" with values in Chow-Witt theory, while the second definition is as an "obstruction class." Along the way, we refine Morel's relative Hurewicz theorem in A^1-homotopy theory, and show how to define (twisted) Chow-Witt groups for geometric classifying spaces.
%U http://arxiv.org/abs/1306.5250v1