Discrete Morse theory for moduli spaces of flexible polygons, or solitaire game on the circle
Gaiane Yu. Panina, Alena Mikhailovna Zhukova · arXiv (Cornell University) · 2015
We introduce a perfect discrete Morse function on the moduli space of a polygonal linkage. The ingredients of the construction are: (1) the cell structure on the moduli space, and (2) the discrete Morse theory approach, which allows to reduce the number of cells to the minimal possible.