Pure and Applied Mathematics Quarterly
Volume 17 (2021)
A note on the Simpson correspondence for semistable Higgs bundles
Pages: 1899 – 1911
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