Characteristic classes and quadric bundles
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We construct Euler and Stiefel-Whitney classes of vector bundles with quadratic form by analyzing the intersection theory of the associated quadric bundles. We also compute the Chow rings of quadric and isotropic flag bundles. Along the way, we prove a conjecture of Fulton on top Chern classes of maximal isotropic sub-bundles of an even rank quadratic vector bundle.
Keywords
Cite
@article{arxiv.alg-geom/9412007,
title = {Characteristic classes and quadric bundles},
author = {D. Edidin and W. Graham},
journal= {arXiv preprint arXiv:alg-geom/9412007},
year = {2008}
}
Comments
Duke Mathematical Journal, to appear, 29pages LaTeX