Higgs bundles on Sasakian manifolds
Differential Geometry
2016-12-20 v2 Algebraic Geometry
Complex Variables
Abstract
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.
Cite
@article{arxiv.1607.07351,
title = {Higgs bundles on Sasakian manifolds},
author = {Indranil Biswas and Mahan Mj},
journal= {arXiv preprint arXiv:1607.07351},
year = {2016}
}
Comments
Final version; to appear in IMRN