33 citations · 53 across the 10 of their papers we have counts for
10 papers
Top-degree rational cohomology in the symplectic group of a number ring
Benjamin Brück, Zachary Himes
Let be a number field with ring of integers . We show that if is not a principal ideal domain, then the symplectic group has…
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group
Michael Borinsky, Benjamin Brück, Thomas Willwacher
We compute the weight 2 cohomology of the Feynman transforms of the cyclic (co)operads and , and the top weight cohomology of the Feynman transfor…
Median quasimorphisms on CAT(0) cube complexes and their cup products
Benjamin Brück, Francesco Fournier-Facio, Clara Loeh
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup produ…
Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1
Sven Heydenreich, Benjamin Brück, Pierre Burger +5
We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey. We obtain the first cosmological parameter constraints from…
On the codimension-two cohomology of
Benjamin Brück, Jeremy Miller, Peter Patzt +2
Borel-Serre proved that is a virtual duality group of dimension and the Steinberg module is its dualizing modu…
Stratifying the space of barcodes using Coxeter complexes
Benjamin Brück, Adélie Garin
We use tools from geometric group theory to produce a stratification of the space of barcodes with bars. The top-dimensional strata are indexed by permutations…
A note on virtual duality and automorphism groups of right-angled Artin groups
Richard D. Wade, Benjamin Brück
A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen--Macaulay. We use this to give…
A central limit theorem for the two-sided descent statistic on Coxeter groups
Benjamin Brück, Frank Röttger
We study the asymptotic behaviour of the statistic (des+ides) which assigns to an element w of a finite Coxeter group W the number of descents of w plus the number of descents of i…
Higher generating subgroups and Cohen-Macaulay complexes
Benjamin Brück
We show how to find higher generating families of subgroups, in the sense of Abels and Holz, for groups acting on Cohen-Macaulay complexes. We apply this to groups with a BN-pair t…
Maximal hyperbolic towers and weight in the theory of free groups
Benjamin Brück
We show that in general for a given group the structure of a maximal hyperbolic tower over a free group is not canonical: We construct examples of groups having hyperbolic tower st…