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We demonstrate the construction of Poisson structures via Lie algebroids onmoduli spaces of twisted stable Higgs bundles over stacky curves. Theconstruction provides new examples of Poisson structures on such moduli spaces.Special attention is paid at moduli spaces of parabolic Higgs bundles over aroot stack.

Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves