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

Schütz, Dirk¹

¹Department of Mathematical Sciences, University of Durham, South Road, Durham DH1 3LE, UK

Algebraic and Geometric Topology, Tome 13 (2013) no. 2, pp. 1183-1224

Résumé

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.

Détail

DOI : 10.2140/agt.2013.13.1183

Classification : 58D29, 55R80, 57R70
Keywords: moduli spaces, linkages, homology

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