Pure and Applied Mathematics Quarterly

Volume 17 (2021)

Number 5

A note on the Simpson correspondence for semistable Higgs bundles

Pages: 1899 – 1911

DOI: https://dx.doi.org/10.4310/PAMQ.2021.v17.n5.a8


Ya Deng (CNRS, Institut Élie Cartan de Lorraine, Université de Lorraine, Nancy, France)


In this note we provide an elementary proof of the Simpson correspondence between semistable Higgs bundles with vanishing Chern classes and representation of fundamental groups of Kähler manifolds.


semistable Higgs bundles, representation of the fundamental group, Simpson correspondence

2010 Mathematics Subject Classification


This work was supported by ERC ALKAGE.

Received 11 November 2018

Received revised 7 September 2021

Published 26 January 2022