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Steklov Institute of Mathematics at St.Petersburg

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PREPRINT 6/2002

I. A. PANIN
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Riemann-Roch theorem for oriented cohomology

This preprint was accepted March 5, 2002

Contact:
` I. A. Panin `

ABSTRACT:
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.

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