%0 Journal Article
%T An introduction to pressure metrics on higher Teichm¨¹ller spaces
%A Martin Bridgeman
%A Richard Canary
%A Andr¨¦s Sambarino
%J Mathematics
%D 2015
%I arXiv
%X We discuss how one uses the thermodynamic formalism to produce metrics on higher Teichm\"uller spaces. Our higher Teichm\"uller spaces will be spaces of Anosov representations of a word-hyperbolic group into a semi-simple Lie group. We begin by discussing our construction in the classical setting of the Teichm\"uller space of a closed orientable surface of genus at least 2, then we explain the construction for Hitchin components and finally we treat the general case. This paper surveys results of Bridgeman-Canary-Labourie-Sambarino "\emph{The pressure metric for Anosov representations}" and discusses questions and open problems which arise.
%U http://arxiv.org/abs/1507.03894v1