  The presence of matter with angular momentum, in the form of a fallback disk
around a young isolated neutron star will determine its evolution. This leads
to an understanding of many properties of different classes of young neutron
stars, in particular a natural explanation for the period clustering of AXPs,
SGRs and XDINs. The spindown or spinup properties of a neutron star are
determined by the dipole component of the magnetic field. The natural
possibility that magnetars and other neutron stars may have different strengths
of the dipole and higher multipole components of the magnetic field is now
actually required by observations on the spindown rates of some magnetars. This
talk gives a broad overview and some applications of the fallback disk model to
particular neutron stars. Salient points are: (i) A fallback disk has already
been observed around the AXP 4U 0142+61 some years ago. (ii) The low observed
spindown rate of the SGR 0418+5729 provides direct evidence that the dipole
component of the field is in the $10^{12} G$ range. All properties of the SGR
0418+5729 at its present age can be explained by spindown under torques from a
fallback disk. (iii) The anomalous braking index of PSR J1734-3333 can also be
explained by the fallback disk model which gives the luminosity, period, period
derivative and the period second derivative at the present age. (iv) These and
all applications to a variety of other sources employ the same disk physics and
evolution, differing only in the initial conditions of the disk.
