Higher spinor classes
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. We establish various basic properties, including vanishing in odd degrees and an induction formula for quadratic field extensions. The methods used include the homotopy theory of simp…
Read More ↓Title Statements
- Full title :Higher spinor classes / J.F. Jardine.
Summary
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. We establish 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.
Read More ↓Edition Statements
- Publication Date:©1994.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1994.
Notes
"July 1994, volume 110, number 528 (third of 6 numbers)."
The Physical Object
- Description:vi, 88 pages : : illustrations ; : 26 cm.
Edition Identifiers
- ISBN:0821825909, 9780821825907
- oclc:ocm30076889
- LC Classification:QA3
- Dewey Decimal:510 s
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