Bredon Homology of Partition Complexes
Algebraic Topology
2016-07-12 v3
Abstract
We prove that the Bredon homology or cohomology of the partition complex with fairly general coefficients is either trivial or computable in terms of constructions with the Steinberg module. The argument involves developing a theory of Bredon homology and cohomology approximation.
Cite
@article{arxiv.1306.0056,
title = {Bredon Homology of Partition Complexes},
author = {Gregory Z. Arone and William G. Dwyer and Kathryn Lesh},
journal= {arXiv preprint arXiv:1306.0056},
year = {2016}
}
Comments
48 pages. Minor revisions. A typo in the statement of Corollary 1.2 was corrected, along with other typos. Some references have been added