3 papers
math.AT2025
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…
math.GR2025
(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…
math.GR2024
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, an…