Min-type Morse theory for configuration spaces of hard spheres (Q2929686)
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scientific article; zbMATH DE number 6369474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Min-type Morse theory for configuration spaces of hard spheres |
scientific article; zbMATH DE number 6369474 |
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14 November 2014
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hard spheres
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configuration spaces
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Morse theory
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Min-type Morse theory for configuration spaces of hard spheres (English)
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The study of the configuration spaces of hard spheres in a bounded region has a rich history, with interests in physics, mechanics, and biology. This papers uses a Morse-theoretic framework to show that certain balanced configurations of spheres play the role of critical points. Moreover, the authors find the precise threshold radius for a configuration space to be homotopy equivalent to a configuration space of points.
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