A. M. Zhukova, G. Yu. Panina, “Discrete Morse theory for the moduli spaces of polygonal linkages, or solitaire on a circle”, Mat. Sb., 2017, Volume 208, Number 9,Pages <nobr>100

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

A. M. Zhukova^a, G. Yu. Panina^bc

^a St. Petersburg State University, Faculty of Liberal Arts and Sciences
^b St. Petersburg Institute for Informatics and Automation of RAS
^c St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

Abstract: 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.

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

UDC: 517.538

MSC: 55R80

Received: 22.02.2016 and 05.03.2017

DOI: 10.4213/sm8677