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Higher Spinor Classes
 
Higher Spinor Classes
eBook ISBN:  978-1-4704-0107-8
Product Code:  MEMO/110/528.E
List Price: $39.00
MAA Member Price: $35.10
AMS Member Price: $23.40
Higher Spinor Classes
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Higher Spinor Classes
eBook ISBN:  978-1-4704-0107-8
Product Code:  MEMO/110/528.E
List Price: $39.00
MAA Member Price: $35.10
AMS Member Price: $23.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1101994; 88 pp
    MSC: Primary 12; Secondary 18;

    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.

    Readership

    Research mathematicians, graduate students.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • The operation $P_2$
    • The cohomology of $\mathrm {BO}_n$
    • The cohomological induction formula
    • Higher spinor classes
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1101994; 88 pp
MSC: Primary 12; Secondary 18;

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.

Readership

Research mathematicians, graduate students.

  • Chapters
  • Introduction
  • The operation $P_2$
  • The cohomology of $\mathrm {BO}_n$
  • The cohomological induction formula
  • Higher spinor classes
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.