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

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

Faculty of Liberal Arts and Sciences

Overview
Cite this

DOI

https://doi.org/10.1070/SM8677
Final published version

A. M. Zhukova
G. Yu Panina

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. Bibliography: 12 entries.

Original language	English
Pages (from-to)	1353-1367
Number of pages	15
Journal	Sbornik Mathematics
Volume	208
Issue number	9
DOIs	https://doi.org/10.1070/SM8677
State	Published - 1 Jan 2017

Scopus subject areas

Algebra and Number Theory

Research areas

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

ID: 49857002