Min-type Morse theory for configuration spaces of hard spheres
Algebraic Topology
2014-05-13 v2 Robotics
Mathematical Physics
math.MP
Abstract
We study configuration spaces of hard spheres in a bounded region. We develop a general Morse-theoretic framework, and show that mechanically balanced configurations play the role of critical points. As an application, we find the precise threshold radius for a configuration space to be homotopy equivalent to the configuration space of points.
Keywords
Cite
@article{arxiv.1108.3061,
title = {Min-type Morse theory for configuration spaces of hard spheres},
author = {Yuliy Baryshnikov and Peter Bubenik and Matthew Kahle},
journal= {arXiv preprint arXiv:1108.3061},
year = {2014}
}
Comments
Minor changes, new title