Min-type morse theory for configuration spaces of hard spheres

Yuliy Baryshnikov; Peter Bubenik; Matthew Kahle

doi:10.1093/imrn/rnt012

Min-type morse theory for configuration spaces of hard spheres

Yuliy Baryshnikov, Peter Bubenik, Matthew Kahle

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

25 Citations (Scopus)

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 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
Publication status	Published - Jan 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1093/imrn/rnt012

Cite this

@article{35714bc4d9a54ba482bca0b34e590688,

title = "Min-type morse theory for configuration spaces of hard spheres",

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.",

author = "Yuliy Baryshnikov and Peter Bubenik and Matthew Kahle",

year = "2014",

month = jan,

doi = "10.1093/imrn/rnt012",

language = "English",

volume = "2014",

pages = "2577--2592",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "9",

}

TY - JOUR

T1 - Min-type morse theory for configuration spaces of hard spheres

AU - Baryshnikov, Yuliy

AU - Bubenik, Peter

AU - Kahle, Matthew

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84899864085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899864085&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnt012

DO - 10.1093/imrn/rnt012

M3 - Article

AN - SCOPUS:84899864085

SN - 1073-7928

VL - 2014

SP - 2577

EP - 2592

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 9

ER -

Min-type morse theory for configuration spaces of hard spheres

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this