Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$
Algebraic Topology
2020-04-20 v1
Abstract
We compute the cohomology ring of a generalised type of configuration space of points in . This configuration space is indexed by a graph. In the case the graph is complete the result is known and it is due to Arnold and Cohen. However, our computations give a generalisation to any graph and an alternative proof of the classical result. Moreover, we show that there are deletion-contraction short exact sequences for this cohomology rings.
Keywords
Cite
@article{arxiv.2004.08370,
title = {Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$},
author = {Marcel Bökstedt and Erica Minuz},
journal= {arXiv preprint arXiv:2004.08370},
year = {2020}
}