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arXiv · 1301.0206

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

Dirk Schuetz
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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 Poincare polynomial in terms of combinatorial information encoded in the length vector.

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Dirk Schuetz. 2013-01-02. Homology of moduli spaces of linkages in high-dimensional Euclidean space. https://doi.org/10.2140/agt.2013.13.1183

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