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

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.

33 pages, 1 figure

References in corpus (1)

• The isomorphism problem of planar polygon spaces

Cited by in corpus (1)

• Intersection homology of linkage spaces in odd dimensional Euclidean space