3 citations · 6 across the 5 of their papers we have counts for
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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…
(Non-)vanishing results for extensions between simple outer functors on free groups
Louis Hainaut
In this article we study cohomological properties of the category of polynomial outer functors on free groups, which are the functors from the category of finitely generated free g…
Configuration spaces on a wedge of spheres and Hochschild-Pirashvili homology
Nir Gadish, Louis Hainaut
We study the compactly supported rational cohomology of configuration spaces of points on wedges of spheres, equipped with natural actions of the symmetric group and the group $Out…
The Euler characteristic of configuration spaces
Louis Hainaut
In this short note we present a generating function computing the compactly supported Euler characteristic of the configuration spaces on a topologi…