**Memoirs of the American Mathematical Society**

1994;
88 pp;
Softcover

MSC: Primary 12;
Secondary 18

Print ISBN: 978-0-8218-2590-7

Product Code: MEMO/110/528

List Price: $39.00

Individual Member Price: $23.40

**Electronic ISBN: 978-1-4704-0107-8
Product Code: MEMO/110/528.E**

List Price: $39.00

Individual Member Price: $23.40

# Higher Spinor Classes

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*J. F. Jardine*

This work defines the higher spinor classes of an orthogonal representation of a Galois group. These classes are higher-degree analogues of the Fröhlich 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 mod 2 étale cohomology.

#### Table of Contents

# Table of Contents

## Higher Spinor Classes

#### Readership

Research mathematicians, graduate students.