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arXiv · 1412.4396

Homotopy type of free group character varieties

Ana Casimiro·Carlos Florentino·Sean Lawton·André Oliveira
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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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Ana Casimiro, Carlos Florentino, Sean Lawton, André Oliveira. 2014-12-14. Homotopy type of free group character varieties. https://arxiv.org/abs/1412.4396

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