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Bott periodicity and calculus of Euler classes on spheres

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
321
Issue
1
Identifiers
DOI: 10.1016/j.jalgebra.2008.09.013
Keywords
  • Vector Bundles
  • Projective Modules
  • Chern Classes
  • Euler Classes
Disciplines
  • Mathematics

Abstract

Abstract A variety of computations regarding the Euler class group E ( A n , A n ) and the Grothendieck group K 0 ( A n ) of the algebraic sphere Spec ( A n ) is done. The Euler class of the algebraic tangent bundle on Spec ( A n ) is computed. It is also investigated whether every element in the Euler class group E ( A n , A n ) is the Euler class of a projective A n module of rank n.

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