Finding topology in a factory: configuration spaces
History and Overview
2007-05-23 v1 Geometric Topology
Abstract
This expository article describes applications of topological configuration spaces to the control of robotic systems. In particular, we review recent work by the authors on configuration spaces of graphs. These are lovely spaces: we show for example that the configuration space of two points on the complete graph of five vertices is a closed orientable surface of genus six.
Cite
@article{arxiv.math/0009118,
title = {Finding topology in a factory: configuration spaces},
author = {A. Abrams and R. Ghrist},
journal= {arXiv preprint arXiv:math/0009118},
year = {2007}
}
Comments
16 pages, 7 figures