  Even when the direct view toward the active nucleus is obscured, nuclear
emission propagating along other directions can scatter off surrounding
material, become polarized and reach the observer. Spectropolarimetry can thus
be an important tool in investigating the circumnuclear geometry and kinematics
of quasars on scales that cannot yet be probed via direct observations. Here we
discuss an intriguing class of quasars where the polarization position angle
swings by large amounts (90 deg) within an emission line. We investigate a
kinematic model in which the scattering dust or electrons are in an
axisymmetric outflow. We propagate Stokes parameters in a variety of geometries
of emitter, scatterer and observer. We use these models to predict polarization
fraction, line profiles and polarization position angles and compare them to
observations. We demonstrate that the swinging polarization angle can be a
result of the geometry of the outflow and the orientation of the observer.
Polarization properties of a near-Eddington extremely red quasar SDSS J1652 can
be successfully explained by a model in which the quasar is surrounded by a
geometrically thick disk, whose `skin' is outflowing at 1000 km/s and acts as
the scatterer on scales of a few tens of pc. The line of sight to the observer
in this source is within or close to the skin of the torus, in agreement with
multi-wavelength data. Spectropolarimetric data and models presented here
strongly support the thick-disk geometry of circumnuclear material suggested by
recent numerical simulations of high-rate accretion flows onto black holes.
