The cohomology of lambda-rings and K-theory
Michael Robinson
TL;DR
This paper introduces a new cohomology theory for lambda-rings and Psi-rings, establishing connections to K-theory of spheres and homotopy groups, advancing algebraic topology understanding.
Contribution
It defines the Andre-Quillen cohomology for lambda-rings and Psi-rings, differing from previous lambda-ring cohomology, and links K-theory to homotopy groups of spheres.
Findings
Defined Andre-Quillen cohomology for lambda-rings and Psi-rings
Established a natural transformation connecting K-theory of spheres to homotopy groups
Differentiated new cohomology from Yau's earlier lambda-ring cohomology
Abstract
We introduce the Andre-Quillen cohomology of lambda-rings and Psi-rings, this is different to the lambda-ring cohomology defined by Yau in 2005. We show that there is a natural transformation connecting the cohomology of the K-theory of spheres to the homotopy groups of spheres.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra