The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere
复制标题
四重穿孔球体相关特征簇的拓扑
作者：
R. Benedetto;W. Goldman
设M是一个具有边界分量A; B; C; D的四穿孔球面。M的SL（2; C）-特征簇由1（M）？！SL（2; C），且可与C7中的一个四次超曲面相一致.对应于tr（（A））= a，tr（（B））= B，tr（（C））= c，tr（（D））= d的表示是C3中的三次曲面。我们确定奇异
Let M be a quadruply-punctured sphere with boundary components A; B; C; D. The SL(2; C)-character variety of M consists of equivalence classes of homomorphisms of 1 (M) ?! SL(2; C) and can be identiied with a quartic hypersurface in C 7. corresponding to representations with tr((A)) = a, tr((B)) = b, tr((C)) = c, tr((D)) = d is a cubic surface in C 3. We determine the singular