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

Schuetz, Dirk

doi:10.2140/agt.2013.13.1183

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

Schuetz, Dirk

Authors

Professor Dirk Schuetz dirk.schuetz@durham.ac.uk
Professor

Abstract

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.

Citation

Schuetz, D. (2013). Homology of moduli spaces of linkages in high-dimensional Euclidean space. Algebraic & geometric topology, 13(2), 1183-1224. https://doi.org/10.2140/agt.2013.13.1183

Journal Article Type	Article
Publication Date	Jan 1, 2013
Deposit Date	Apr 24, 2013
Publicly Available Date	May 2, 2013
Journal	Algebraic and Geometric Topology
Print ISSN	1472-2747
Electronic ISSN	1472-2739
Publisher	Mathematical Sciences Publishers (MSP)
Peer Reviewed	Peer Reviewed
Volume	13
Issue	2
Pages	1183-1224
DOI	https://doi.org/10.2140/agt.2013.13.1183
Keywords	Moduli spaces, Linkages, Homology.