Showing math.ATShow all
3 papers · 1 filter
math.AT2025
Polynomial functors over free nilpotent groups
Minkyu Kim
Let be a unital commutative ring. In this paper, we study polynomial functors from the category of finitely generated free nilpotent groups to the category of -modules, focu…
math.AT2025
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…
math.AT2024
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…