4 papers · 1 filter
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.
Presentations of configuration categories
Pedro Boavida de Brito, Michael S. Weiss
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration c…
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…
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.