Young Topologists Meeting 2017 @ Stockholm University & Royal Institute of Technology (KTH)

On .
Title: The Lambrechts–Stanley Model of Configuration Spaces.

We prove a conjecture of Lambrechts and Stanley about the homotopy invariance and the definition of models for configuration spaces of (smooth) simply connected manifolds over R\mathbb{R}. We do this using ideas coming from Kontsevich’s proof of the formality of the little disks operads.