Min-type Morse theory for configuration spaces of hard spheres

Details Min-type Morse theory for configuration spaces of hard spheres Min-type Morse theory for configuration spaces of hard spheres

2011-08-15

arxiv.org/abs/1108.3061v2

Mathematics

Algebraic Topology

Minor changes, new title

Scientific paper

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.

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