Intersection homology of linkage spaces

Schuetz, Dirk

doi:10.1142/s1793525316500023

Intersection homology of linkage spaces

Schuetz, Dirk

Authors

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

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.

Citation

Schuetz, D. (2016). Intersection homology of linkage spaces. Journal of Topology and Analysis, 08(01), 25-58. https://doi.org/10.1142/s1793525316500023

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.

Files

Accepted Journal Article (411 Kb)
PDF

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