2 papers
math.AT2024
Formality of -algebras and cochains on spheres
Gijs Heuts, Markus Land
We study the loop and suspension functors on the category of augmented -algebras. One application is to the formality of the cochain algebra of the -sphere. We sho…
math.AT2021
Partition complexes and trees
Gijs Heuts, Ieke Moerdijk
We construct a homotopy initial functor from the partition complex of a finite set to a category of trees with leaves labelled by . As an application, this provides an equiv…