Geodesic
Automorphisms of $\mathbb{C}^*$ Moduli Spaces Associated to a Riemann Surface
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group $\mathbb{C}^*$ associated to a compact connected Riemann surface.
Keywords: holomorphic connection; Higgs bundle; character variety; automorphism. 
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David Baraglia; Indranil Biswas; Laura P. Schaposnik. Automorphisms of $\mathbb{C}^*$ Moduli Spaces Associated to a Riemann Surface. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a6/

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