52 citations · 63 across the 11 of their papers we have counts for
11 papers
An analogue of Rognes' connectivity conjecture for free groups
Benjamin Brück, Jeremy Miller, Kevin Ivan Piterman
We show that the common basis complex of a free group of rank has the homotopy type of a wedge of spheres of dimension . This establishes an -analogue…
Non-vanishing unitary cohomology of low-rank integral special linear groups
Benjamin Brück, Sam Hughes, Dawid Kielak +1
We construct explicit finite-dimensional orthogonal representations of for all of whose invariant vectors are trivial, and…
(Non-)Vanishing of high-dimensional group cohomology
Benjamin Brück
Church-Farb-Putman formulated stability and vanishing conjectures for the high-dimensional cohomology of , surface mapping class groups and automor…
The common basis complex and the partial decomposition poset
Benjamin Brück, Kevin I. Piterman, Volkmar Welker
For a finite-dimensional vector space , the common basis complex of is the simplicial complex whose vertices are the proper non-zero subspaces of , and is a simplex i…
A presentation of symplectic Steinberg modules and cohomology of
Benjamin Brück, Peter Patzt, Robin J. Sroka
Borel-Serre proved that the integral symplectic group is a virtual duality group of dimension and that the symplectic Steinberg module $\…
Apartment classes of integral symplectic groups
Benjamin Brück, Robin J. Sroka
In this note we present an alternative proof of a theorem of Gunnells, which states that the Steinberg module of is a cyclic $\operatorname{Sp_…
The Bessel zeta function
M. G. Naber, B. M. Bruck, S. E. Costello
Two representations of the Bessel zeta function are investigated. An incomplete representation is constructed using contour integration and an integral representation due to Hawkin…
On the top-dimensional cohomology of arithmetic Chevalley groups
Benjamin Brück, Yuri Santos Rego, Robin J. Sroka
Let be a number field with ring of integers and let be a Chevalley group scheme not of type , or $\mathtt{G}_…
Persistent homology in cosmic shear: constraining parameters with topological data analysis
Sven Heydenreich, Benjamin Brück, Joachim Harnois-Déraps
In recent years, cosmic shear has emerged as a powerful tool to study the statistical distribution of matter in our Universe. Apart from the standard two-point correlation function…
Between buildings and free factor complexes: A Cohen-Macaulay complex for Out(RAAGs)
Benjamin Brück
For every finite graph , we define a simplicial complex associated to the outer automorphism group of the RAAG . These complexes are defined as coset complexes of parabolic…
The Farrell-Jones Conjecture for normally poly-free groups
Benjamin Brück, Dawid Kielak, Xiaolei Wu
We prove the - and -theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC…