Binomial rings and homotopy theory-Reference-Cited by-同舟云学术

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Binomial rings and homotopy theory

Published:2024-06-29 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Horel Geoffroy¹

Affiliation:

1. Laboratoire Analyse, Géométrie et Applications , CNRS (UMR 7539) , 27097 Université Sorbonne Paris Nord , 93430 , Villetaneuse , France

Abstract

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–Teichmüller group.

Funder

Agence Nationale de la Recherche

Ministerul Educaţiei Naţionale

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2024-0039/pdf

Reference23 articles.

1. B. Antieau, Spherical Witt vectors and integral models for spaces, preprint (2023), https://arxiv.org/abs/2308.07288.

2. M. Barr and C. Wells, Toposes, triples and theories, Repr. Theory Appl. Categ. (2005), no. 12, 1–288.

3. J. R. Blomquist and J. E. Harper, Integral chains and Bousfield–Kan completion, Homology Homotopy Appl. 21 (2019), no. 2, 29–58.

4. P. Boavida de Brito, G. Horel and M. Robertson, Operads of genus zero curves and the Grothendieck–Teichmüller group, Geom. Topol. 23 (2019), no. 1, 299–346.

5. A. K. Bousfield, Cosimplicial resolutions and homotopy spectral sequences in model categories, Geom. Topol. 7 (2003), no. 2, 1001–1053.

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