Topology of Quadric Bundles

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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.
41 pages, LaTeX. Final version to appear in International Journal of Mathematics. Main theorem is now proved for arbitrary coefficients, not just for Z/(2) as in the first version

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Algebraic Geometry, Algebraic Topology, 14F45, 55R40, 55R37

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http://salesiana.dossiersoluciones.com/handle/123456789/59728

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008104
 http://arxiv.org/abs/math/0008104

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arXiv