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arXiv · 2303.13947

Twistor space for local systems on an open curve

Carlos Simpson
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Abstract

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.

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Carlos Simpson. 2023-03-24. Twistor space for local systems on an open curve. https://arxiv.org/abs/2303.13947

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