标题： Sasakian流形上的Higgs丛 显示英文标题

标题： Higgs bundles on Sasakian manifolds

摘要： 我们将Donaldson-Corlette-Hitchin-Simpson对应关系从紧致Kähler流形上的Higgs丛和平坦联络扩展到紧致准正则Sasakian流形上。 一个特别的结果是将利用Donaldson-Corlette-Hitchin-Simpson对应关系证明的Kähler群的限制翻译为紧致Sasakian流形的基本群的限制。 显示英文摘要

摘要： We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact K\"ahler manifolds to compact quasi-regular Sasakian manifolds. A particular consequence is the translation of restrictions on K\"ahler groups proved using the Donaldson-Corlette-Hitchin-Simpson correspondence to fundamental groups of compact Sasakian manifolds.