17 citations · 38 across the 15 of their papers we have counts for
17 papers
On integral extensions between the abelianization functor and its symmetric powers
Minkyu Kim, Christine Vespa
This paper aims to study Ext-groups between certain functors defined on the category of finitely generated free groups. Rational Ext-groups between the abelianization functor and i…
A prop structure on partitions
Coline Emprin, Dana Hunter, Muriel Livernet +2
Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for whic…
On analytic exponential functors on free groups
Minkyu Kim, Christine Vespa
This paper concerns exponential contravariant functors on free groups. We obtain an equivalence of categories between analytic, exponential contravariant functors on free groups an…
On the functors associated with beaded open Jacobi diagrams
Christine Vespa
Morphisms in the linear category A of Jacobi diagrams in handlebodies give rise to interesting contravariant functors on the category gr of finitely-generated free groups, encoding…
On the wheeled PROP of stable cohomology of Aut(F_n) with bivariant coefficients
Nariya Kawazumi, Christine Vespa
We show that the stable cohomology of automorphism groups of free groups with coefficients obtained by applying Hom(-,-) to tensor powers of the abelianization, is equipped with th…
A Pirashvili-type theorem for functors on non-empty finite sets
Geoffrey Powell, Christine Vespa
Pirashvili's Dold-Kan type theorem for finite pointed sets follows from the identification in terms of surjections of the morphisms between the tensor powers of a functor playing t…