Automorphisms of ${\mathbb{C}}^{\ast }$ Moduli Spaces Associated to a Riemann Surface

David Baraglia, Indranil Biswas, Laura P. Schaposnik

We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group ${\mathbb{C}}^{\ast }$ associated to a compact connected Riemann surface.