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arXiv · 2410.06902

Commuting varieties and the rank filtration of topological K-theory

Simon Gritschacher
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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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Simon Gritschacher. 2024-10-09. Commuting varieties and the rank filtration of topological K-theory. https://arxiv.org/abs/2410.06902

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