We deform a two-dimensional topological gravity making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once the noncommutativity parameter is set to zero. Some solutions of the deformed model, such as fuzzy AdS 2 , are obtained. Furthermore, the transformation properties of the model under the Seiberg–Witten map are studied.
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