  Current theories of superfluidity are based on the idea of a coherent quantum
state with topologically protected, quantized circulation. When this
topological protection is absent, as in the case of $^3$He-A, the coherent
quantum state no longer supports persistent superflow. Here we argue that the
loss of topological protection in a superconductor gives rise to an insulating
ground state. We specifically introduce the concept of a Skyrme insulator to
describe the coherent dielectric state that results from the topological
failure of superflow carried by a complex vector order parameter. We apply this
idea to the case of SmB$_6$, arguing that the observation of a diamagnetic
Fermi surface within an insulating bulk can be understood in terms of a Skyrme
insulator. Our theory enables us to understand the linear specific heat of
SmB$_6$ in terms of a neutral Majorana Fermi sea and leads us to predict that
in low fields of order a Gauss, SmB6 will develop a Meissner effect.
