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Moduli Spaces of Polygons and Punctured Riemann Spheres

  Published:2000-06-01
 Printed: Jun 2000
  • Philip Foth
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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, 18G55, 14H10 show english descriptions Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Homotopical algebra
Families, moduli (algebraic)
14D20 - Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
18G55 - Homotopical algebra
14H10 - Families, moduli (algebraic)
 

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