arXiv subjects
Publications and source records attributed to Christoph Schiessl.
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.
We compute the virtual Poincaré polynomials of the configuration space of $n$ ordered points on an elliptic curve with sum 0.
In this note, we collect mostly known formulas and methods to compute the standard and virtual Poincaré polynomials of the configuration spaces of the plane $\mathbb{C} \setminus k$ with $k$ deleted points and compare the answers.
Using a method of Félix and Thomas we compute the Betti numbers of unordered configuration spaces of the torus.