S. Gritschacher

activity

20132026

most citedSecondary Heavy Quark Production in Jets through Mass Modes

32 citations · 74 across the 13 of their papers we have counts for

collaborators

13 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.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…

math.GR2021

On families of nilpotent subgroups and associated coset posets

Simon Gritschacher, Bernardo Villarreal

We study some properties of the coset poset associated with the family of subgroups of class $\leq 2$ of a nilpotent group of class $\leq 3$ . We prove that under certain assumption…

math.AT2020★ 3 cited

Higher generation by abelian subgroups in Lie groups

Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

To a compact Lie group $G$ one can associate a space $E (2, G)$ akin to the poset of cosets of abelian subgroups of a discrete group. The space $E (2, G)$ was introduced by Adem, F. Co…

math.AT2020★ 3 cited

On the second homotopy group of spaces of commuting elements in Lie groups

Alejandro Adem, José Manuel Gómez, Simon Gritschacher

Let $G$ be a compact connected Lie group and $n ⩾ 1$ an integer. Consider the space of ordered commuting $n$ -tuples in $G$ , $H o m (Z^{n}, G)$ , and its quotient under the…

math.AT2018★ 3 cited

Commuting matrices and Atiyah's Real K-theory

Simon Gritschacher, Markus Hausmann

We describe the $C_{2}$ -equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calc…

math.AT2018★ 9 cited

Classifying spaces for commutativity of low-dimensional Lie groups

Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

For each of the groups $G = O (2), S U (2), U (2)$ , we compute the integral and $F_{2}$ -cohomology rings of $B_{com} G$ (the classifying space for commutativity of $G$ ), th…

math.AT2017

Acyclicity in the group-completion theorem

Simon Gritschacher

We prove acyclicity of the comparison map $M_{\infty} \to Ω B M$ in the group-completion theorem under the assumption that $π_{0} (M)$ is a right denominator set in $H_{*} (M)$ .

math.AT2016★ 7 cited

The spectrum for commutative complex $K$ -theory

Simon Gritschacher

We study commutative complex $K$ -theory, a generalised cohomology theory built from spaces of ordered commuting tuples in the unitary groups. We show that the spectrum for commutat…

hep-ph2013★ 15 cited

Two loop soft function for secondary massive quarks

Simon Gritschacher, Andre Hoang, Ilaria Jemos +1

We present the calculation of the $O (α_{s}^{2} C_{F} T_{F})$ massive quark corrections to the soft function for the double hemisphere jet mass distribution in $e^{+} e^{-}$ collision…

hep-ph2013★ 32 cited

Secondary Heavy Quark Production in Jets through Mass Modes

Simon Gritschacher, Andre H. Hoang, Ilaria Jemos +1

We present an effective field theory method to determine secondary massive quark effects in jet production taking the thrust distribution for e+ e- collisions in the dijet limit as…

Torsion primes for spaces of commuting elements in Lie groups

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

Commuting varieties and the rank filtration of topological K-theory

A stable splitting for spaces of commuting elements in unitary groups

On families of nilpotent subgroups and associated coset posets

Higher generation by abelian subgroups in Lie groups

On the second homotopy group of spaces of commuting elements in Lie groups

Commuting matrices and Atiyah's Real K-theory

Classifying spaces for commutativity of low-dimensional Lie groups

Acyclicity in the group-completion theorem

The spectrum for commutative complex K-theory

Two loop soft function for secondary massive quarks

Secondary Heavy Quark Production in Jets through Mass Modes

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

The spectrum for commutative complex $K$ -theory