A twisted homology fibration criterion and the twisted group-completion theorem
Algebraic Topology
2018-05-22 v1
Abstract
The purpose of this note is to clarify some details in McDuff and Segal's proof of the group-completion theorem and to generalize both this and the homology fibration criterion of McDuff to homology with twisted coefficients. This will be used in forthcoming work to identify the limiting homology of "oriented" configuration spaces, which doubly cover the classical configuration spaces of distinct unordered points in a manifold.
Keywords
Cite
@article{arxiv.1409.4389,
title = {A twisted homology fibration criterion and the twisted group-completion theorem},
author = {Jeremy Miller and Martin Palmer},
journal= {arXiv preprint arXiv:1409.4389},
year = {2018}
}
Comments
21 pages. This note supersedes Section 2 of arXiv:1306.6896v1, which has been split in half for length reasons