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On the Moduli Space of a Spherical Polygonal Linkage

On the Moduli Space of a Spherical Polygonal Linkage

Abstract We give a “wall-crossing” formula for computing the topology of the moduli space of a closed n -gon linkage on 𝕊 2 . We do this by determining the Morse theory of the function ρ n on the moduli space of n -gon linkages which is given by the …