arXiv:2410.06902 Abstract | arXiv Analytics

arXiv:2410.06902 [math.AT]Abstract References Reviews Resources

Commuting varieties and the rank filtration of topological K-theory

Published 2024-10-09Version 1

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.

Comments: 15 pages

Categories: math.AT

Keywords: rank filtration, topological k-theory, commuting varieties, lie algebra, one-point compactification

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