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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.AT2024
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…