  A two-component Fermi gas with attractive s-wave interactions forms a
superfluid at low temperatures. When this gas is confined in a rotating trap,
fermions can unpair at the edges of the gas and vortices can arise beyond
certain critical rotation frequencies. We compute these critical rotation
frequencies and construct the phase diagram in the plane of scattering length
and rotation frequency for different total number of particles. We work at zero
temperature and consider a cylindrically symmetric harmonic trapping potential.
The calculations are performed in the Hartree-Fock-Bogoliubov approximation
which implies that our results are quantitatively reliable for weak
interactions.
