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The study of group actions on manifolds is a classical problem in geometric topology. In this talk, I will introduce the notion of isovariant G-Poincaré spaces, a homotopical notion interpolating between closed smooth G-manifolds and G-Poincaré spaces. The main result shows that, for a periodic finite group G and under suitable codimension hypothesis, the space of isovariant structures on a G-Poincaré space is highly connected. This is a useful tool for constructing manifold structures on equivariant Poincaré spaces. Joint work with Christian Kremer.