Comparing Euler classes
Algebraic Geometry
2016-08-17 v2 Commutative Algebra
Algebraic Topology
K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1306.5250,
title = {Comparing Euler classes},
author = {Aravind Asok and Jean Fasel},
journal= {arXiv preprint arXiv:1306.5250},
year = {2016}
}
Comments
33 pages; Final version (before proofs). To appear Q. J. Math