Discrete Morse theory for the moduli spaces of polygonal linkages, or solitaire on a circle

被引：0

作者：

Zhukova, A. M. ^{[1
]}

Panina, G. Yu. ^{[2
,3
]}

机构：

[1] St Petersburg State Univ, Fac Liberal Arts & Sci, St Petersburg, Russia

[2] Russian Acad Sci, St Petersburg Inst Informat & Automat, Moscow, Russia

[3] Russian Acad Sci, St Petersburg Dept, VA Steklov Inst Math, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2017年 / 208卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

polygonal linkage; configuration space; cell complex; discrete vector field; exact Morse function;

D O I：

10.1070/SM8677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an exact discrete Morse function on the moduli space of a planar polygonal linkage. A cellular structure on the moduli space is used, and the number of cells is minimised by employing discrete Morse theory.

引用

页码：1353 / 1367

页数：15

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