Min-type morse theory for configuration spaces of hard spheres

Yuliy Baryshnikov, Peter Bubenik, Matthew Kahle

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)2577-2592
Number of pages16
JournalInternational Mathematics Research Notices
Volume2014
Issue number9
DOIs
StatePublished - Jan 2014

ASJC Scopus subject areas

  • Mathematics(all)

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