Vertical configuration spaces and their homology
Algebraic Topology
2022-05-03 v3
Abstract
We introduce ordered and unordered configuration spaces of 'clusters' of points in an Euclidean space , where points in each cluster satisfy a 'verticality' condition, depending on a decomposition . We compute the homology in the ordered case and prove homological stability in the unordered case.
Cite
@article{arxiv.2103.12137,
title = {Vertical configuration spaces and their homology},
author = {Andrea Bianchi and Florian Kranhold},
journal= {arXiv preprint arXiv:2103.12137},
year = {2022}
}
Comments
29 pages, 9 figures; accepted version