Nonabelian Hodge theory for Fujiki class $\mathcal C$ manifolds
Algebraic Geometry
2022-09-26 v2 Complex Variables
Abstract
The nonabelian Hodge correspondence (Corlette-Simpson correspondence), between the polystable Higgs bundles with vanishing Chern classes on a compact K\"ahler manifold and the completely reducible flat connections on , is extended to the Fujiki class manifolds.
Cite
@article{arxiv.2006.09055,
title = {Nonabelian Hodge theory for Fujiki class $\mathcal C$ manifolds},
author = {Indranil Biswas and Sorin Dumitrescu},
journal= {arXiv preprint arXiv:2006.09055},
year = {2022}
}
Comments
Final version