论文标题
非亚伯式霍奇模量空间和同质仿射弹簧纤维
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers
论文作者
论文摘要
从均质仿射弹簧纤维$fl_ψ$开始，我们构造了三个模量空间，与假设的Simpson对应关系的Dolbeault，De Rham和Betti方面相对应。我们表明，$fl_ψ$是多尔贝尔空间中中央拉格朗日纤维同构的同构，证明多尔贝亚特（Dolbeaut）和de rham空间都具有与$fl_ψ$相同的共同体，并构建了从DE RHAM空间到Betti空间到Betti空间的地图，我们认为这是分析性异构性的。
Starting from a homogeneous affine Springer fiber $Fl_ψ$, we construct three moduli spaces that correspond to the Dolbeault, de Rham and Betti aspects of a hypothetical Simpson correspondence with wild ramifications. We show that $Fl_ψ$ is homeomorphic to the central Lagrangian fiber in the Dolbeault space, prove that the Dolbeaut and de Rham spaces both have the same cohomology as $Fl_ψ$, and construct a map from the de Rham space to the Betti space which we conjecture to be an analytic isomorphism.
