论文标题
Nilpotent Higgs捆绑包和平坦连接的家族
Nilpotent Higgs bundles and families of flat connections
论文作者
论文摘要
我们研究了$ \ mathbb {c}^\ times $ -FAMILIES的flat连接，其领先术语是Nilpotent Higgs字段。这些家庭的例子包括由保形限制引起的真正扭曲线和家庭。我们表明，这些家庭与普通的希格斯捆绑术的家庭具有相同的单轨道，并以此来推断出，圣洁的痕迹在家庭参数的理性力量上是渐近指数的。
We investigate $\mathbb{C}^\times$-families of flat connections whose leading term is a nilpotent Higgs field. Examples of such families include real twistor lines and families arising from the conformal limit. We show that these families have the same monodromy as families whose leading term is a regular Higgs bundle and use this to deduce that traces of holonomies are asymptotically exponential in rational powers of the parameter of the family.
