论文标题
光滑的投射品种上希格斯捆绑的晶体和模量空间
Branes and moduli spaces of Higgs bundles on smooth projective varieties
论文作者
论文摘要
鉴于平滑的复杂的投影品种$ m $和光滑的封闭曲线$ x \ subset m $，使得基本组的同构$π_1（x）\ rightarrowπ_1（m）$是分支的，我们研究了higgs bundles的限制图，即来自$ m $ the $ x $ $ x $的higgs bundles bundles bundles。特别是，我们调查了此限制图与Higgs捆绑捆绑$ m $和$ x $的各种类型的麸皮之间的相互作用。我们还考虑了有限组通过全体形态自动形态或反旋晶的互动以$ m $行动的设置，并且该动作保留了曲线$ x $。在这种情况下，研究了麸皮。
Given a smooth complex projective variety $M$ and a smooth closed curve $X \subset M$ such that the homomorphism of fundamental groups $π_1(X) \rightarrow π_1(M)$ is surjective, we study the restriction map of Higgs bundles, namely from Higgs bundles on $M$ to those on $X$. In particular, we investigate the interplay between this restriction map and various types of branes contained in the moduli spaces of Higgs bundles on $M$ and $X$. We also consider the set-up where a finite group is acting on $M$ via holomorphic automorphisms or anti-holomorphic involutions, and the curve $X$ is preserved by the action. Branes are studied in this context.
