Topology of Quadric Bundles

Details Topology of Quadric Bundles Topology of Quadric Bundles

2000-08-15

arxiv.org/abs/math/0008104v2

Mathematics

Algebraic Geometry

41 pages, LaTeX. Final version to appear in International Journal of Mathematics. Main theorem is now proved for arbitrary coe

Scientific paper

This paper begins with a description of cohomological invariants of
non-degenerate quadric bundles, in terms of the cohomology rings of the
classifying spaces of the general orthogonal groups. Following this, the Main
Theorem of the paper determines the behavior of these invariants under the
Gysin boundary map, when a quadric bundle degenerates over a divisor.

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