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λ-Rings and Chern Classes

  • William Fulton
  • Serge Lang
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 277)

Abstract

This chapter describes first the basic ring structure of the objects to be encountered later in a more geometric context. The algebra involved is elementary and self-contained. We have axiomatized certain notions which originally arose in the theory of vector bundles. Actually we work with two rings, one of them usually graded. We also develop the formalism of Hirzebruch polynomials, which belongs to the basic theory of symmetric functions. We have preserved original names like Chern classes, Todd character, etc., although the algebra involved here deals only with a pair of rings and some elementary formal manipulation of power series, independently of the geometry from which they came.

Keywords

Power Series Vector Bundle Line Element Chern Class Positive Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • William Fulton
    • 1
  • Serge Lang
    • 2
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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