3 papers
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
Higher Hochschild homology and exponential functors
Geoffrey Powell, Christine Vespa
We study higher Hochschild homology evaluated on wedges of circles, viewed as a functor on the category of free groups. The main results use coefficients arising from square-zero e…
math.AT2024
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…