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Discrete Morse theory for moduli spaces of flexible polygons, or solitaire game on the circle

Authors
  • Panina, Gaiane
  • Zhukova, Alena
Type
Preprint
Publication Date
Jan 23, 2016
Submission Date
Apr 20, 2015
Identifiers
arXiv ID: 1504.05139
Source
arXiv
License
Yellow
External links

Abstract

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.

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