Benjamin Brück

collaborators

3 papers

math.NT2023

Top-degree rational cohomology in the symplectic group of a number ring

Benjamin Brück, Zachary Himes

Let $K$ be a number field with ring of integers $R = O_{K}$ . We show that if $R$ is not a principal ideal domain, then the symplectic group $Sp_{2 n} (R)$ has…

math.QA2023

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 $BV$ and $HyCom$ , and the top $- 2$ weight cohomology of the Feynman transfor…

math.GR2019

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…