3 papers
math.AT2024
An algebro-geometric model for the configuration category
Pedro Boavida de Brito, Geoffroy Horel, Danica Kosanović
Using log-geometry, we construct a model for the configuration category of a smooth algebraic variety. As an application, we prove the formality of certain configuration spaces.
math.AT2017
Dendroidal spaces, -spaces and the special Barratt-Priddy-Quillen theorem
Pedro Boavida de Brito, Ieke Moerdijk
We study the covariant model structure on dendroidal spaces and establish direct relations to the homotopy theory of algebras over a simplicial operad as well as to the homotopy th…
math.AT2016
Topological embeddings of disks via configuration categories
Pedro Boavida de Brito, Michael S. Weiss
The functor that takes a manifold to its configuration category exhibits a type of full faithfulness in some cases.