Min-type Morse theory for configuration spaces of hard spheres
classification
🧮 math.AT
cs.ROmath-phmath.MP
keywords
configurationhardpointsspacespacesspheresapplicationbalanced
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.