A model for configuration spaces of points

Abstract

We construct a real combinatorial model for the configuration spaces of points of compact smooth oriented manifolds without boundary. We use these models to show that the real homotopy type of configuration spaces of a simply connected such manifold only depends on the real homotopy type of the manifold. Moreover, we show that for framed $D$-dimensional manifolds these models capture a natural right homotopy action of the little $D$-disks operad.

Several revisions. To appear in AGT

References in corpus (3)

• Perturbative quantum gauge theories on manifolds with boundary
• Spaces of smooth embeddings and configuration categories
• The Lambrechts-Stanley Model of Configuration Spaces

Cited by in corpus (7)

• A model for framed configuration spaces of points
• Models for knot spaces and Atiyah duality
• Graph cohomologies and rational homotopy type of configuration spaces
• Formality of a higher-codimensional Swiss-Cheese operad
• Graph Complexes and higher genus Grothendieck-Teichmüller Lie algebras
• Diagram complexes, formality, and configuration space integrals for braids
• Configuration spaces of products