The Symmetric Join Operad
Algebraic Topology
2011-10-14 v1 Category Theory
Abstract
The join operad arises from the combinatorial study of the iterated join of simplices. We study a suitable simplicial version of this operad which includes the symmetries given by permutations of the factors of the join. From this combinatorics we construct an E-infinity operad which coacts naturally on the chains of a simplicial set.
Cite
@article{arxiv.1110.2989,
title = {The Symmetric Join Operad},
author = {Michal Adamaszek and John D. S. Jones},
journal= {arXiv preprint arXiv:1110.2989},
year = {2011}
}