Space of spatial polygons in Euclidean spaces has been studied extensively in [3, 1, 2]. There is a beautiful description of cohomology in . In this paper we introduce another, easy to compute method to obtain the cohomology without using toric variety arguments. We also give a criterion for a polygon space to be Fano, thus, having ample anticanonical class.
Paksoy, Vehbi Emrah, "On the Cohomology of Spatial Polygons in Euclidean Spaces" (2006). Mathematics Faculty Articles. 86.