论文标题
Hitchin Pairs的模量空间的Nilpotent锥上的分层
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
论文作者
论文摘要
我们考虑在天然$ \ mathbb {c}^*$ - 在模量空间上找到nilpotent锥体中的higgs束的无穷大（对应于向下摩尔斯流）的限制的问题。对于一般排名，我们为Higgs捆绑包提供了一个常规的nilpotent Higgs领域的答案，而在第三等级中，我们给出了完整的答案。我们的结果表明，可以通过基础向量束的过滤来描述限制的限制。
We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural $\mathbb{C}^*$-action on the moduli space. For general rank we provide an answer for Higgs bundles with regular nilpotent Higgs field, while in rank three we give the complete answer. Our results show that the limit can be described in terms of data defined by the Higgs field, via a filtration of the underlying vector bundle.
