SIMPSON CORRESPONDENCE FOR SEMISTABLE HIGGS BUNDLES OVER KÄHLER MANIFOLDS

Ya Deng (1)

1 IF - Institut Fourier

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.

Mots clés: semistable Higgs bundles; representation of the fundamental group; Simpson correspondence

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Ya Deng. SIMPSON CORRESPONDENCE FOR SEMISTABLE HIGGS BUNDLES OVER KÄHLER MANIFOLDS. 2019. ⟨hal-02391629⟩