arXiv:1108.3061
Min-type Morse theory for configuration spaces of hard spheres
Min-type Morse theory for configuration spaces of hard spheres
著者: Yuliy Baryshnikov, Peter Bubenik, Matthew Kahle
分類: math.AT, cs.RO, math-ph, math.MP
原文アブストラクト
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.