  The aim of this paper is to establish exponential mixing of frame flow for
the measure of maximal entropy on a convex cocompact hyperbolic manifold.
Consequences include results on the decay of matrix coefficients and on
effective equidistribution of holonomies. The main technical point is a
spectral bound on certain twisted transfer operators, which we obtain by
building on Dolgopyat's framework. This extends and strengthens earlier work of
Dolgopyat, Stoyanov, Pollicott, and others.
