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Twistor space for local systems on an open curve

Université Côte d’Azur, CNRS, Laboratoire J. A. Dieudonné, Parc Valrose, 06108 Nice Cedex 02, France

E-mail Address: carlos.simpson@univ-cotedazur.fr

E-mail Address: carlos@unice.fr

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https://doi.org/10.1142/S0129167X24410131Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Volume Dedicated to Prof. Oscar Garcia-Prada’s 60th Birthday

Abstract

Let $X = \bar{X} - D$ be a smooth quasi-projective curve. We previously constructed a Deligne–Hitchin moduli 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.

Communicated by Luis Álvarez-Cónsul and Steven Bradlow

Keywords:

AMSC: 14D21, 14F35, 22A22, 32J25

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