A model for framed configuration spaces of points

Abstract

We study configuration spaces of framed points on oriented closed smooth manifolds. Such configuration spaces admit natural actions of the framed little discs operads, that play an important role in the study of embedding spaces of manifolds and in factorization homology. We construct real combinatorial models for these operadic modules, for orientable closed smooth manifolds.

47 pages, revised and expanded version. Comments are welcome

References in corpus (6)

• The rational homotopy of mapping spaces of E${}_n$ operads
• Context-free manifold calculus and the Fulton-MacPherson Operad
• A model for configuration spaces of points
• Real models for the framed little $n$-disks operads
• Manifold theoretic compactifications of configuration spaces
• Minimal models, GT-action and formality of the little disk operad

Cited by in corpus (4)

• String topology and configuration spaces of two points
• Formality of a higher-codimensional Swiss-Cheese operad
• Graph Complexes and higher genus Grothendieck-Teichmüller Lie algebras
• Boardman-Vogt resolutions and bar/cobar constructions of (co)operadic (co)bimodules