Twistor space for local systems on an open curve - Archive ouverte HAL
Article Dans Une Revue International Journal of Mathematics Année : 2023

Twistor space for local systems on an open curve

Carlos Simpson

Résumé

Let $X=\overline{X}-D$ be a smooth quasi-projective curve. In arXiv:2110.12300 we constructed a Deligne-Hitchin modui space with Hecke gauge groupoid for connections of rank $2$. We extend this construction to the case of any rank $r$, although still keeping a genericity hypothesis. The formal neighborhood of a preferred section corresponding to a tame harmonic bundle is governed by a mixed twistor structure.

Dates et versions

hal-04288750 , version 1 (16-11-2023)

Identifiants

Citer

Carlos Simpson. Twistor space for local systems on an open curve. International Journal of Mathematics, 2023, 35 (09), ⟨10.1142/S0129167X24410131⟩. ⟨hal-04288750⟩
30 Consultations
0 Téléchargements

Altmetric

Partager

More