A note on the Simpson correspondence for semistable Higgs bundles

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.

Keywords

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

2010 Mathematics Subject Classification

53C07

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This work was supported by ERC ALKAGE.

Received 11 November 2018

Received revised 7 September 2021

Published 26 January 2022