2009/04/30 by Barry John Walker, Walker, Barry John
Computer Science · Mathematics · #14L05 #55N22 #55P43 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.0905.0022
openalex publication_date 2009/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Matthew Ando produced power operations in the Lubin-Tate cohomology theories and was able to classify which complex orientations were compatible with these operations. The methods used by Ando, Hopkins and Rezk to classify orientations of topological modular forms can be applied to complex K-Theory. Using techniques from local analytic number theory, we construct a theory of integration on formal groups of finite height. This calculational device allows us to show the equivalence of the two descriptions for complex K-Theory. As an application we show that the p-completion of the Todd genus is an E_∞ map.