Betti numbers of unordered configuration spaces of the torus

TL;DR

This paper computes the Betti numbers of unordered configuration spaces of the torus using a method developed by Félix and Thomas, providing new insights into the topological properties of these spaces.

Contribution

It applies the Félix and Thomas method to explicitly calculate Betti numbers for unordered configuration spaces of the torus, a novel application in this context.

Findings

Betti numbers of unordered configuration spaces of the torus are explicitly computed.

The method demonstrates effectiveness for topological calculations of configuration spaces.

Results contribute to understanding the topology of surface configuration spaces.

Abstract

Using a method of F\'elix and Thomas we compute the Betti numbers of unordered configuration spaces of the torus.