Geodesic
Discrete Morse theory for the moduli spaces of polygonal linkages, or solitaire on a~circle
Sbornik. Mathematics, Tome 208 (2017) no. 9, pp. 1353-1367

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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, cell complex, discrete vector field, exact Morse function.
Mots-clés : configuration space 
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     author = {A. M. Zhukova and G. Yu. Panina},
     title = {Discrete {Morse} theory for the moduli spaces of polygonal linkages, or solitaire on a~circle},
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A. M. Zhukova; G. Yu. Panina. Discrete Morse theory for the moduli spaces of polygonal linkages, or solitaire on a~circle. Sbornik. Mathematics, Tome 208 (2017) no. 9, pp. 1353-1367. http://geodesic.mathdoc.fr/item/SM_2017_208_9_a4/