Topological complexity of some planar polygon spaces
Algebraic Topology
2015-07-07 v2
Abstract
Using known results about their mod-2 cohomology ring, we prove that the topological complexity of the space of isometry classes of n-gons in the plane with one side of length r and all others of length 1 equals either 2n-5 or 2n-6, provided that n-r is not an odd integer.
Keywords
Cite
@article{arxiv.1504.00848,
title = {Topological complexity of some planar polygon spaces},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:1504.00848},
year = {2015}
}
Comments
Complete revision. Much stronger result