  Polarization holonomy is analytically determined for a class of closed,
spherical trajectories of light transiting a black hole in the Kerr metric. The
leading order geometric optics approximation admits a closed-form expression of
such paths, and sets of source/receiver locations are quantified for a spectrum
of black hole angular momenta. A conserved, conformal Yano-Killing scalar is
then exploited to determine the evolving polarization. Polarization holonomy,
the angle between outgoing and incoming polarizations, is quantified for the
spectrum of admissible direct and retrograde trajectories.
