3 papers
math.AT2025
Representation asymptotics in the homology of pure graph braid groups
Louis Hainaut, Ben Knudsen, Nicholas Wawrykow
We give explicit formulas for the asymptotic Betti numbers, over an arbitrary field, of the ordered configuration spaces of a graph. In characteristic zero, we further give explici…
math.AT2025
Lie algebras and the (co)homology of configuration spaces
Ben Knudsen
We survey decades of research identifying the (co)homology of configuration spaces with Lie algebra (co)homology. The different routes to this one proto-theorem offer genuinely dif…
math.AT2025
On the analog category of finite groups
Ben Knudsen, Shmuel Weinberger
We show that the analog category of a finite group is essentially proportional to the size of its largest Sylow subgroup. We conclude that the universal upper bound given by the or…