Moduli Spaces of Polygons and Punctured Riemann Spheres

Canadian mathematical bulletin

关键词: braid;    Goeritz matrix;    Minkowski unit;    nullity;    signature;    2-parallel version;   

DOI  :  10.4153/CMB-2000-024-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The purpose of this note is to give a simple combinatorialconstruction of the map from the canonically compactified modulispaces 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 acomplete set of linear relations among the cycles that generatehomology of $P_r$. We also classify moduli spaces of pentagons.

【 授权许可】

Unknown