Multisimplicial chains and configuration spaces
Algebraic Topology
2023-03-23 v2
Abstract
This paper presents a generalization to multisimplicial sets of previously defined -coalgebra structures on the chains of simplicial and cubical sets. We focus on the surjection chain complexes of McClure--Smith as a main example and construct a zig-zag of complexity preserving quasi-isomorphisms of -coalgebras relating these to both the singular chains on configuration spaces and the Barratt--Eccles chain complexes.
Keywords
Cite
@article{arxiv.2012.02060,
title = {Multisimplicial chains and configuration spaces},
author = {Anibal M. Medina-Mardones and Andrea Pizzi and Paolo Salvatore},
journal= {arXiv preprint arXiv:2012.02060},
year = {2023}
}
Comments
Major changes after added author