On the Moduli Space of Polygons in the Euclidean Plane

@inproceedings{Kapovich1994OnTM,
  title={On the Moduli Space of Polygons in the Euclidean Plane},
  author={Michael Kapovich and John Millson},
  year={1994}
}
We study the topology of moduli spaces of polygons with xed side lengths in the Euclidean plane. We establish a duality between the spaces of marked Euclidean polygons with xed side lengths and marked convex Euclidean polygons with prescribed angles. 1. We consider the space P n of all polygons with n distinguished vertices in the Euclidean plane E 2 whose sides have nonnegative length allowing all possible degenerations of the polygons except of the degeneration of the polygon to a point. Two… CONTINUE READING

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