  Using the low-energy effective field theory for hole-doped antiferromagnets
on the honeycomb lattice, we study the localization of holes on Skyrmions, as a
potential mechanism for the preformation of Cooper pairs. In contrast to the
square lattice case, for the standard radial profile of the Skyrmion on the
honeycomb lattice, only holes residing in one of the two hole pockets can get
localized. This differs qualitatively from hole pairs bound by magnon exchange,
which is most attractive between holes residing in different momentum space
pockets. On the honeycomb lattice, magnon exchange unambiguously leads to
$f$-wave pairing, which is also observed experimentally. Using the
collective-mode quantization of the Skyrmion, we determine the quantum numbers
of the localized hole pairs. Again, $f$-wave symmetry is possible, but other
competing pairing symmetries cannot be ruled out.
