Riemann-Roch Theorems for Oriented Cohomology

  • I. Panin
  • A. Smirnov
Part of the NATO Science Series book series (NAII, volume 131)


The notion of an oriented cohomology pretheory on algebraic varieties is introduced and a Riemann-Roch theorem for ring morphisms between oriented pretheories is proved. An explicit formula for the Todd genus related to a ring morphism is given. The theory is illustrated by classical and other examples.


Vector Bundle Line Bundle Chern Class Euler Class Chern Character 
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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • I. Panin
    • 1
  • A. Smirnov
    • 1
  1. 1.Steklov InstituteSt PetersburgRussia

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