### Push-forwards in oriented cohomology theories of algebraic varieties, by Ivan Panin and Alexander Smirnov

Notions of a cohomology theory and an oriented cohomology theory
for algebraic varieties are introduced, push-forwards for
projective morphisms are constructed and a Riemann-Roch theorem
for ring operations between oriented theories is proved. An
explicit formula for the Todd genus related to a ring operation is
given. The theory is illustrated by motivic cohomology, algebraic
K-theory, algebraic cobordism theory and by other examples.

Ivan Panin <panin@pdmi.ras.ru>

Alexander Smirnov <smirnov@paycash.ru>