Professor Dirk Schuetz dirk.schuetz@durham.ac.uk
Professor
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.
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 29, 2015 |
Online Publication Date | Oct 8, 2015 |
Publication Date | Mar 1, 2016 |
Deposit Date | Jun 29, 2015 |
Publicly Available Date | May 8, 2016 |
Journal | Journal of Topology and Analysis |
Print ISSN | 1793-5253 |
Electronic ISSN | 1793-7167 |
Publisher | World Scientific Publishing |
Peer Reviewed | Peer Reviewed |
Volume | 08 |
Issue | 01 |
Pages | 25-58 |
DOI | https://doi.org/10.1142/s1793525316500023 |
Keywords | Configuration spaces, Linkages, Intersection homology. |
Public URL | https://durham-repository.worktribe.com/output/1402983 |
Accepted Journal Article
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Copyright 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
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