The Pressure metric for convex Anosov representations
Martin Bridgeman (Boston College)
Abstract: Using thermodynamics formalism, we introduce a notion of
intersection for convex Anosov representations. We also produce an
Out-invariant Riemannian metric on the smooth points of the deformation space
of convex, irreducible representations of a word hyperbolic group G into
SL(m,R) whose Zariski closure contains a generic element. In particular, we
produce a mapping class group invariant Riemannian metric on Hitchin
components which restricts to the Weil–Petersson metric on the Fuchsian
locus.