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Homotopy type of free group character varieties
Published 14 Dec 2014 in math.AT, math.AG, and math.RT | (1412.4396v1)
Abstract: Let G be a real reductive algebraic group with maximal compact subgroup K, and let F be a rank r free group. Here, we summarize the construction of a natural strong deformation retraction from the space of closed orbits in Hom(F,G)/G to the orbit space Hom(F,K)/K. In particular, these spaces have the same homotopy type.
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