Intersection homology of linkage spaces
Algebraic Topology
2013-06-20 v1 Geometric Topology
Abstract
We consider the moduli spaces of a closed linkage with n links and prescribed lengths 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 type of the moduli spaces 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.
Cite
@article{arxiv.1306.4594,
title = {Intersection homology of linkage spaces},
author = {Dirk Schuetz},
journal= {arXiv preprint arXiv:1306.4594},
year = {2013}
}
Comments
29 pages, 2 figures