We describe all operations from a theory A^* obtained from Algebraic
Cobordism of M.Levine-F.Morel by change of coefficients to any oriented
cohomology theory B^* (in the case of a field of characteristic zero). We prove
that such an operation can be reconstructed out of it's action on the products
of projective spaces. This reduces the construction of operations to algebra
and extends the additive case done earlier, as well as the topological one
obtained by T.Kashiwabara. The key new ingredients which permit us to treat the
non-additive operations are: the use of "poly-operations" and the "Discrete
Taylor expansion". As an application we construct the only missing, the 0-th
(non-additive) Symmetric operation, for arbitrary p, which permits to sharpen
results on the structure of Algebraic Cobordism. We also prove the general
Riemann-Roch theorem for arbitrary (even non-additive) operations (over an
arbitrary field). This extends the multiplicative case proved by I.Panin.Comment: To appear in Advances in Mathematic
