Inverting operations in operads
Category Theory
2017-09-18 v2 Algebraic Topology
Abstract
We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O to LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.
Cite
@article{arxiv.1611.00715,
title = {Inverting operations in operads},
author = {Maria Basterra and Irina Bobkova and Kate Ponto and Ulrike Tillmann and Sarah Yeakel},
journal= {arXiv preprint arXiv:1611.00715},
year = {2017}
}
Comments
This paper represents part of the authors' Women in Topology project