Topology of the configuration space of polygons as a codimension one submanifold of a torus
type: Item
instance of: scholarly article
title: Topology of the configuration space of polygons as a codimension one submanifold of a torus
zbMATH Open document ID: 0953.57013
author: Takanori Hinokuma
author: H. Shiga
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2001-01-31T00:00:00Z
review text: By using Morse theory the authors obtain the topology of \[ \begin{aligned} W_{n+2,r}&= \{(w_1,\dots, w_n)\in T^n: |w_1+\cdots+ w_n+1|\geq r\}\\ \text{and} M_{n+2,r}&= \{(w_1,\dots, w_n)\in T^n: |w_1+\cdots+ w_n+1|= r\} \end{aligned} \] where \(T^n\) is the \(n\)-dimensional torus.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 57M99
Mathematics Subject Classification ID: 57R70
zbMATH DE Number: 1439791
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195144628
OpenAlex ID: W2015028611
DOI: 10.2977/PRIMS/1195144628
description: scientific article; zbMATH DE number 1439791