On the homotopy type of free group character varieties

Ana Casimiro, Andre Oliveira, Carlos Florentino, Sean Lawton

Research output: Contribution to journalArticlepeer-review


Let G be a real reductive algebraic group with maximal compact subgroup K,
and let Fr 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(Fr,G)/G to the orbit space Hom(Fr,K)/K. In particular, these spaces have the same homotopy type.
Original languageEnglish
Number of pages4
JournalBoletim da Sociedade Portuguesa de Matemática
Publication statusPublished - 2016


  • Character varieties
  • Real reductive groups
  • Free group rep resentations


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