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Durham University

Department of Mathematical Sciences


Publication details for Dirk Schuetz

Schuetz, Dirk (2013). Homology of moduli spaces of linkages in high-dimensional Euclidean space. Algebraic & Geometric Topology 13(2): 1183–1224.

Author(s) from Durham


We study the topology of moduli spaces of closed linkages in ℝd depending on a length vector ℓ ∈ ℝn. 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.