English

Binomial rings and homotopy theory

Algebraic Topology 2025-03-25 v2

Abstract

We produce a fully faithful functor from finite type nilpotent spaces to cosimplicial binomial rings, thus giving an algebraic model of integral homotopy types. As an application, we construct an integral version of the Grothendieck-Teichm\"uller group.

Keywords

Cite

@article{arxiv.2211.02349,
  title  = {Binomial rings and homotopy theory},
  author = {Geoffroy Horel},
  journal= {arXiv preprint arXiv:2211.02349},
  year   = {2025}
}

Comments

23 pages

R2 v1 2026-06-28T05:10:39.855Z