Homology of moduli spaces of linkages in high-dimensional Euclidean space

We study the topology of moduli spaces of closed linkages in R-d depending on a length vector l is an element of R-n. In particular, we use equivariant Morse theory to obtain information on the homology groups of these spaces, which works best for odd d. In the case d = 5 we calculate the Poincare polynomial in terms of combinatorial information encoded in the length vector.