论文标题
某些$ sl_2 $ - 特定品种的坐标环
Coordinate rings of some $SL_2$-character varieties
论文作者
论文摘要
我们确定$ sl_2 $ - 字符品种的坐标环的发电机。对于免费组$ f_3 $，我们获得了$ sl_2 $ - 字符品种的显式方程。对于免费组$ f_k $，我们找到先验生成器。最后，对于2-torus的情况，我们获得了$ sl_2 $ - 字符品种的明确方程式，并使用描述来计算其电子多样性。
We determine generators of the coordinate ring of $SL_2$-character varieties. In the case of the free group $F_3$ we obtain an explicit equation of the $SL_2$-character variety. For free groups $F_k$ we find transcendental generators. Finally, for the case of the 2-torus, we get an explicit equation of the $SL_2$-character variety and use the description to compute their E-polynomials.
