Min-type morse theory for configuration spaces of hard spheres

Yuliy Baryshnikov; Peter G Bubenik; Matthew Kahle

doi:10.1093/imrn/rnt012

Min-type morse theory for configuration spaces of hard spheres

Yuliy Baryshnikov
, Peter G Bubenik
, Matthew Kahle

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

In this 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. © 2013 The Author(s). Published by Oxford University Press. All rights reserved.

Original language	English
Pages (from-to)	2577-2592
Number of pages	16
Journal	International Mathematics Research Notices
Volume	2014
Issue number	9
DOIs	https://doi.org/10.1093/imrn/rnt012
State	Published - Jan 1 2014

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Min-type morse theory for configuration spaces of hard spheres

Abstract

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