English

On the delooping of (framed) embedding spaces

Algebraic Topology 2021-06-10 v3

Abstract

It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has applications to the spaces of disc embeddings fixed near the boundary and framed disc embeddings.

Keywords

Cite

@article{arxiv.1811.12816,
  title  = {On the delooping of (framed) embedding spaces},
  author = {Julien Ducoulombier and Victor Turchin and Thomas Willwacher},
  journal= {arXiv preprint arXiv:1811.12816},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1704.07062

R2 v1 2026-06-23T06:27:04.722Z