Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/194371
Title: | Encoding equivariant commutativity via operads |
Author: | Gutiérrez Marín, Javier J. White, David |
Keywords: | Teoria de l'homotopia Teoria de models Homotopy theory Model theory |
Issue Date: | 2018 |
Publisher: | Mathematical Sciences Publishers |
Abstract: | We prove a conjecture of Blumberg and Hill regarding the existence of $N_{\infty}$-operads associated to given sequences $\mathcal{F}=\left(\mathcal{F}_n\right)_{n \in \mathbb{N}}$ of families of subgroups of $G \times \Sigma_n$. For every such sequence, we construct a model structure on the category of $G-$ operads, and we use these model structures to define $E_{\infty}^{\mathcal{F}}$-operads, generalizing the notion of an $N_{\infty}$-operad, and to prove the Blumberg-Hill conjecture. We then explore questions of admissibility, rectification, and preservation under left Bousfield localization for these $E_{\infty}^{\mathcal{F}}$-operads, obtaining some new results as well for $N_{\infty}^{-}$ operads. |
Note: | Reproducció del document publicat a: https://doi.org/10.2140/agt.2018.18.2919 |
It is part of: | Algebraic and Geometric Topology, 2018, vol. 18, num. 5, p. 2919-2962 |
URI: | http://hdl.handle.net/2445/194371 |
Related resource: | https://doi.org/10.2140/agt.2018.18.2919 |
ISSN: | 1472-2747 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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