Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$

Marcel Bökstedt; Erica Minuz

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arXiv · 2004.08370

Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$

Marcel Bökstedt·Erica Minuz

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Abstract

We compute the cohomology ring of a generalised type of configuration space of points in $\mathbb{R}^r$. 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.

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Marcel Bökstedt, Erica Minuz. 2020-04-17. Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$. https://arxiv.org/abs/2004.08370

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