  We study SU(2) Yang-Mills quantum mechanics with N=2,4,8 and 16 supercharges.
This describes the non-relativistic dynamics of a pair of D0-branes moving in
d=3,4,6 and 10 spacetime dimensions respectively. We show that as the D0-branes
orbit, states undergo a Berry holonomy described by the four Hopf maps. For the
N=2 theory, the associated Hopf map is the Mobius bundle and its effect is to
turn the D0-branes into anyons with exchange statistics +i and -i. For the
N=4,8 and 16 theories, the Hopf maps give rise to Berry connections that are
familiar to physicists: the U(1) Dirac monopole; the SU(2) Yang monopole; and
the SO(8) octonionic monopole.
