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Commuting varieties and the rank filtration of topological K-theory (2410.06902v1)
Published 9 Oct 2024 in math.AT
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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