English

A model for framed configuration spaces of points

Algebraic Topology 2025-02-05 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.1807.08319,
  title  = {A model for framed configuration spaces of points},
  author = {Ricardo Campos and Julien Ducoulombier and Najib Idrissi and Thomas Willwacher},
  journal= {arXiv preprint arXiv:1807.08319},
  year   = {2025}
}

Comments

47 pages, revised and expanded version. Comments are welcome

R2 v1 2026-06-23T03:09:59.230Z