nLab Outer space




The Culler-Vogtmann Outer space (capitalized for Out) is a free group analog of the Teichmüller space of a Riemann surface. It is of importance in the study of the outer automorphism group of the free group on nn letters, Out(F n)Out(F_n).


  • wikipedia, Karen Vogtmann
  • Mark Culler, Karen Vogtmann?, Moduli of graphs and automorphisms of free groups_, Inventiones Mathematicae 84 (1): 91–119 (1986) doi, MR 0830040
  • J. Conant, K. Vogtmann, On a theorem of Kontsevich, Algebraic and Geometric Topology 3 (2003), pp. 1167–1224 pdf
  • Vincent Guirardel, Dynamics of Out(F n)Out(F_n) on the boundary of Outer space. Annales Scientifiques de l’École Normale Supérieure (4), vol. 33 (2000), no. 4, 433–465.

Last revised on July 16, 2014 at 08:36:02. See the history of this page for a list of all contributions to it.