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Moduli Spaces of Polygons and Punctured Riemann Spheres |
Canad. Math. Bull. 43(2000), 162-173
Published:2000-06-01
Printed: Jun 2000
Printed: Jun 2000
- Philip Foth
Abstract
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
$\E^3$. 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.
| MSC Classifications: |
14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13} 18G55 - Homotopical algebra 14H10 - Families, moduli (algebraic) |