  The quantum spin Hall effect is conventionally thought to require a strong
spin-orbit coupling, producing an effective spin-dependent magnetic field.
However, spin currents can also be present without transport of spins, for
example, in spin-waves or skyrmions. In this paper, we show that topological
skyrmionic spin textures can be used to realize a quantum spin Hall effect.
From basic arguments relating to the single-valuedness of the wave function, we
deduce that loop integrals of the derivative of the Hamiltonian must have a
spectrum that is integer multiples of $ 2 \pi $. By relating this to the spin
current, we form a new quantity called the quantized spin current which obeys a
precise quantization rule. This allows us to derive a quantum spin Hall effect,
which we illustrate with an example of a spin-1 Bose-Einstein condensate.
