Commuting varieties and the rank filtration of topological K-theory

2024/10/09 by Simon Gritschacher, Gritschacher, Simon
Mathematics · #Advanced Algebra and Geometry #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2410.06902

openalex publication_date 2024/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the space of n-tuples of pairwise commuting elements in the Lie algebra of U(m). We relate its one-point compactification to the subquotients of certain rank filtrations of connective complex K-theory. We also describe the variant for connective real K-theory.

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