Adroja, Pavan HasmukhbhaiPavan HasmukhbhaiAdrojaChakraborty, SujoySujoyChakraborty2026-03-132026-03-132026-03-012331-842210.48550/arXiv.2603.02608https://repository.iitgn.ac.in/handle/IITG2025/34804Let X be a compact Riemann surface of genus at least 3. We compute the Brauer groups of the moduli spaces of stable parabolic \text{SL}(r,\mathbb{C})-connections and stable strongly parabolic \text{SL}(r,\mathbb{C})-Higgs bundles over X. We also establish an equality of the Brauer group of the moduli stack of stable parabolic \text{PGL}(r,\mathbb{C})-connections and the smooth locus of its coarse moduli space.en-USBrauer GroupModuli spaceParabolic bundleParaboic connectionHiggs bundlee-Print