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Riemann-Hilbert correspondence for differential systems over Riemann surfaces | Indranil Biswas
; Sorin Dumitrescu
; | Date: |
14 Feb 2020 | Abstract: | Let $G$ be a connected reductive affine algebraic group defined over $mathbb
C$ and $mathfrak g$ its Lie algebra. We study the monodromy map from the space
of $mathfrak g$-differential systems on a compact connected Riemann surface
$Sigma$ of genus $g ,geq, 2$ to the character variety of
$G$-representations of the fundamental group of $Sigma$. If the complex
dimension of $G$ is at least three, we show that the monodromy map is an
immersion at the generic point. | Source: | arXiv, 2002.5927 | Services: | Forum | Review | PDF | Favorites |
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