论文标题
使用分析方法构建希格斯束的模量空间
Construction of the Moduli Space of Higgs Bundles using Analytic Methods
论文作者
论文摘要
这是一种民间定理，可以使用Kuranishi切片方法来构建封闭的Riemann表面上可半固定的Higgs捆绑的模量空间，作为一个复杂的空间。本文的目的是详细提供证明。我们还直接证明了模量空间是通过复杂的还原组在二次锥体的仿射git商上进行建模的。
It is a folklore theorem that the Kuranishi slice method can be used to construct the moduli space of semistable Higgs bundles on a closed Riemann surface as a complex space. The purpose of this paper is to provide a proof in detail. We also give a direct proof that the moduli space is locally modeled on an affine GIT quotient of a quadratic cone by a complex reductive group.
