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math.AT2026
Relating Brauer categories, Koszul complexes, and graph complexes
Geoffrey Powell
The purpose of this paper is to investigate the relationship between hairy graph complexes associated to cyclic operads and their counterparts for operads (and, more generally, dio…
math.AT2025
Operads, modules over walled Brauer categories, and Koszul complexes
Geoffrey Powell
We investigate certain complexes that are associated to an operad in -vector spaces, where is a field of characteristic . This exploits the study of modules…
math.AT2023
On the Passi and the Mal'cev functors
Geoffrey Powell
The author has shown that the category of analytic contravariant functors on , the category of finitely-generated free groups, is equivalent to the category of left mo…