Geodesic
Moduli Spaces of Polygons and Punctured Riemann Spheres
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 162-173

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DOI

The purpose of this note is to give a simple combinatorial construction of the map from the canonically compactified moduli spaces of punctured complex projective lines to the moduli spaces ${{P}_{r}}$ of polygons with fixed side lengths in the Euclidean space ${{\mathbb{E}}^{3}}$ . The advantage of this construction is that one can obtain a complete set of linear relations among the cycles that generate homology of ${{P}_{r}}$ . We also classify moduli spaces of pentagons.
DOI : 10.4153/CMB-2000-024-1
Mots-clés : 14D20, 18G55, 14H10 
Foth, Philip. Moduli Spaces of Polygons and Punctured Riemann Spheres. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 162-173. doi: 10.4153/CMB-2000-024-1
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