第一类Johnson子群遍历作用于SU_2- character簇
The first Johnson subgroups act ergodically on SU_2-character varieties
摘要:
我们证明了亏格大于1的曲面S的映射类群的第一Johnson子群遍历地作用于S在SU_2中的基本群的表示的模空间。我们的证明依赖于后者的空间周围的平凡表示和泰勒展开的跟踪功能的本地描述。
英文摘要:
We show that the first Johnson subgroup of the mapping class group of a surface S of genus greater than one acts ergodically on the moduli space of representations of the fundamental group of S in SU_2. Our proof relies on a local description of the latter space around the trivial representation and on the Taylor expansion of trace functions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。