#### Volume 13, issue 2 (2013)

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

### Dirk Schütz

Algebraic & Geometric Topology 13 (2013) 1183–1224
##### Abstract

We study the topology of moduli spaces of closed linkages in ${ℝ}^{d}$ depending on a length vector $\ell \in {ℝ}^{n}$. 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 Poincaré polynomial in terms of combinatorial information encoded in the length vector.