so I know e.g. from the point of view of complex cobordism theory that any invertible multiplicative characteristic class in cohomology theory is of the form $$C(V)=e^{\sum_{k\geq 0} s_kch_k(V)}$$.
I know of a similar description for characteristic classes in K-theory that uses Adams operations instead, which is something like $$C(V)=e^{\sum_{k>0} s_k \Psi^k(V^*)}$$
Does anyone have a reference for this or otherwise know where it comes from? (In this context K-theory is complex K-theory and everything here is defined over C)
I know of a similar description for characteristic classes in K-theory that uses Adams operations instead, which is something like $$C(V)=e^{\sum_{k>0} s_k \Psi^k(V^*)}$$
Does anyone have a reference for this or otherwise know where it comes from? (In this context K-theory is complex K-theory and everything here is defined over C)
