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