Topological complexity of spatial polygon spaces
Algebraic Topology
2015-07-07 v1
Abstract
Using known results about their integral cohomology ring, we prove that the topological complexity of the space of n-gons in R^3 with prescribed side lengths equals 2n-5, assuming that the space is nonempty and does not contain any straight-line polygons.
Cite
@article{arxiv.1507.01519,
title = {Topological complexity of spatial polygon spaces},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:1507.01519},
year = {2015}
}
Comments
3 pages