2000 character limit reached
Min-type Morse theory for configuration spaces of hard spheres (1108.3061v2)
Published 15 Aug 2011 in math.AT, cs.RO, math-ph, and 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.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.