Characteristic classes and quadric bundles

Details Characteristic classes and quadric bundles Characteristic classes and quadric bundles

1994-12-09

arxiv.org/abs/alg-geom/9412007v1

Mathematics

Algebraic Geometry

Duke Mathematical Journal, to appear, 29pages LaTeX

Scientific paper

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.

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