  Most Milky Way globular clusters (GCs) exhibit measurable flattening, even if
on a very low level. Both cluster rotation and tidal fields are thought to
cause this flattening. Nevertheless, rotation has only been confirmed in a
handful of GCs, based mostly on individual radial velocities at large radii. We
are conducting a survey of the central kinematics of Galactic GCs using the new
Integral Field Unit instrument VIRUS-W. We detect rotation in all 11 GCs that
we have observed so far, rendering it likely that a large majority of the Milky
Way GCs rotate. We use published catalogs of the ACS survey of GCs to derive
central ellipticities and position angles. We show that in all cases where the
central ellipticity permits an accurate measurement of the position angle,
those angles are in excellent agreement with the kinematic position angles that
we derive from the VIRUS-W velocity fields. We find an unexpected tight
correlation between central rotation and outer ellipticity, indicating that
rotation drives flattening for the objects in our sample. We also find a tight
correlation between central rotation and published values for the central
velocity dispersion, most likely due to rotation impacting the old dispersion
measurements.
