Equivariant chain complexes, twisted homology and relative minimality of arrangements
Estimates for homological dimension of configuration spaces of graphs
We show that the homological dimension of a configuration space of a graph Γ is estimated from above by the number b of vertices in Γ whose valence is greater than 2. We show that this estimate is optimal for the n-point configuration space of Γ if n ≥ 2b.
Euler characteristic of the configuration space of a complex
A closed form formula (generating function) for the Euler characteristic of the configuration space of n particles in a simplicial complex is given.