The generalized cohomology theories, Brumfiel-Madsen formula and topological construction of BGG-type operators

Abstract

In this work, we investigate the topological construction of $BGG$-type operators, giving details about complex orientable theories, Becker-Gottlieb transfer and a formula of Brumfiel-Madsen. We generalize the $BGG$ operators on the Morava $K$-theory and the others ${\mathbb{F}}_p$-generalized cohomology theories.