S. Gritschacher

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20162026

most citedA stable splitting for spaces of commuting elements in unitary groups

2 citations · 2 across the 5 of their papers we have counts for

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math.AT2024

Commuting varieties and the rank filtration of topological K-theory

Simon Gritschacher

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 filtra…

math.AT2024★ 2 cited

A stable splitting for spaces of commuting elements in unitary groups

Alejandro Adem, José Manuel Gómez, Simon Gritschacher

We prove an analogue of Miller's stable splitting of the unitary group $U (m)$ for spaces of commuting elements in $U (m)$ . After inverting $m!$ , the space $\text{Hom}(\mathbb{Z}^n,U…