Schütz, Dirk (2016) 'Intersection homology of linkage spaces.', Journal of topology and analysis., 08 (01). pp. 25-58.
Abstract
We consider the moduli spaces ℳd(ℓ) of a closed linkage with n links and prescribed lengths ℓ ∈ ℝn in d-dimensional Euclidean space. For d > 3 these spaces are no longer manifolds generically, but they have the structure of a pseudomanifold. We use intersection homology to assign a ring to these spaces that can be used to distinguish the homeomorphism types of ℳd(ℓ) for a large class of length vectors in the case of d even. This result is a high-dimensional analogue of the Walker conjecture which was proven by Farber, Hausmann and the author.
| Item Type: | Article |
|---|---|
| Keywords: | Configuration spaces, Linkages, Intersection homology. |
| Full text: | (AM) Accepted Manuscript Download PDF (402Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1142/S1793525316500023 |
| Publisher statement: | Electronic version of an article published as Journal of Topology and Analysis, 08, 01, 2016, 25-58, 10.1142/S1793525316500023 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/10.1142/S1793525316500023 |
| Date accepted: | 29 March 2015 |
| Date deposited: | 30 June 2015 |
| Date of first online publication: | 08 October 2015 |
| Date first made open access: | 08 May 2016 |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
