Higher spinor classes
Author(s)
Bibliographic Information
Higher spinor classes
（Memoirs of the American Mathematical Society, no. 528）
American Mathematical Society, 1994
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Spinor classes
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Note
"July 1994, volume 110, number 528 (third of 6 numbers)"--T.p
Includes bibliographical references (p. 87-88)
Description and Table of Contents
Description
This work defines the higher spinor classes of an orthogonal representation of a Galois group. These classes are higher-degree analogues of the Frohlich spinor class, which quantify the difference between the Stiefel-Whitney classes of an orthogonal representation and the Hasse-Witt classes of the associated form. Jardine establishes various basic properties, including vanishing in odd degrees and an induction formula for quadratic field extensions. The methods used include the homotopy theory of simplicial presheaves and the action of the Steenrod algebra on modetale cohomology.
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