Simon Gritschacher

activity

20242026

collaborators

4 papers

math.RT2026

Torsion primes for spaces of commuting elements in Lie groups

Simon Gritschacher, Chris Hone

Let $G$ be a complex reductive group and $C_{m} (G)_{1}$ the identity component of the space of $m$ -tuples of commuting elements in $G$ . We prove that for every $m \geq 2$ , the integral…

math.AT2026

The equivariant cohomology ring of the representation variety $Hom (Z^{2}, GL_{n} (C))$

Simon Gritschacher

We give a presentation of the $GL_{n} (C)$ -equivariant cohomology ring with $Z$ -coefficients of the variety $\mathrm{Hom}(\mathbb{Z}^2,\mathrm{GL}_n(\mathbb…

math.AT2025

A stable splitting for spaces of commuting elements in unitary groups

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…

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…

Torsion primes for spaces of commuting elements in Lie groups

The equivariant cohomology ring of the representation variety Hom(Z2,GLn​(C))

A stable splitting for spaces of commuting elements in unitary groups

Commuting varieties and the rank filtration of topological K-theory

The equivariant cohomology ring of the representation variety $Hom (Z^{2}, GL_{n} (C))$