Steklov Institute of Mathematics at St.Petersburg

PREPRINT 6/2002

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.