# Integral cohomology of configuration spaces of the sphere

@article{Schiessl2019IntegralCO, title={Integral cohomology of configuration spaces of the sphere}, author={Christoph Schiessl}, journal={Homology, Homotopy and Applications}, year={2019} }

We compute the cohomology of the unordered configuration spaces of the sphere $S^2$ with integral and with $\mathbb{Z}/p \mathbb{Z}$-coefficients using a cell complex by Fuks, Vainshtein and Napolitano.

## 7 Citations

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We compute the rational cohomology of unordered configuration spaces of points on any closed orientable surface. We find a series with coefficients in the Grothendieck ring of the symplectic group…

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