  The deuteron is described as a quantum state on a ten-dimensional manifold
$M_{10}$ of Skyrme fields of degree two, which are obtained by calculating the
holonomy of $SU(2)$ instantons. The manifold $M_{10}$ includes both toroidal
configurations of minimal energy and configurations which are approximately the
product of two Skyrmions in the most attractive relative orientation. The
quantum Hamiltonian is of the form $-\Delta +V$, where $\Delta$ is the
covariant Laplace operator on $M_{10}$ and $V$ is the potential which $M_{10}$
inherits from the Skyrme potential energy functional. Quantum states are
complex-valued functions on the double cover of $M_{10}$ satisfying certain
constraints. There is a unique bound state with the quantum numbers of the
deuteron, and its binding energy is approximately 6 MeV. Some of the deuteron's
electrostatic and magnetostatic properties are also calculated and compared
with experiment.
