Realization of Abel's universal formal group law

Abstract

To a complex oriented cohomology theory $h^*(-)$ one may assign a formal group law $F_h(u,v)$ over $h^*(pt)$ . The purpose of this paper is to show that the converse holds true for the case of Abel's universal formal group law ${\cal F}_{Ab}(u,v)$ , i.e. we will prove the existence of a complex oriented cohomology theory $Ab^*(-)$ whose formal group law $F_{Ab}$ is isomorphic to ${\cal F}_{Ab}(u,v)$ .