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

Schuetz, Dirk

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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.
Public URL https://durham-repository.worktribe.com/output/1455777

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