activity
20062024
most citedHodge decomposition for stable homology of automorphism groups of free groups

11 citations · 27 across the 14 of their papers we have counts for

collaborators

14 papers

math.CT2024

Sur la structure des repr{é}sentations g{é}n{é}riques des groupes lin{é}aires infinis

Aurélien Djament, Antoine Touzé

We study several structure aspects of functor categories from a small additive category to a module category, in particular the category F(A,K) of functors from finitely generated…

math.KT2022

Sur la noeth{é}rianit{é} locale des foncteurs polynomiaux

Aurélien Djament, Antoine Touzé

Let A be a finitely-generated commutative ring and k a noetherian commutative ring. We show that, in the category of functors from finitely-generated projective A-modules to k-modu…

math.AT2015★ 11 cited

Hodge decomposition for stable homology of automorphism groups of free groups

Aurélien Djament

We establish a decomposition of stable homology of automorphism groups of free groups with polynomial contravariant coefficients in term of functor homology. This allows several ex…

math.KT2014★ 8 cited

Cohomologie des foncteurs polynomiaux sur les groupes libres

Aurélien Djament, Teimuraz Pirashvili, Christine Vespa

We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded deg…

math.AT2014★ 1 cited

Groupes d'extensions et foncteurs polynomiaux

Aurélien Djament

Généralisant un article de Pirashvili, nous caractérisons les petites catégories additives A telles que l'inclusion dans la catégorie des foncteurs de A vers les groupes abéliens d…

math.AT2012

Sur l'homologie des groupes d'automorphismes des groupes libres à coefficients polynomiaux

Aurélien Djament, Christine Vespa

We study in this article stable homology of automorphism groups of free groups with coefficients twisted by a poynomial functor. We show that this homology is zero for a reduced co…