  We show that the spin quantum Hall effect in the vortex state of
two-dimensional rotating superfluid He3 can be described as an adiabatic spin
transport of Bloch quasiparticles. We show that the spin Hall conductivity is
written by the Berry phase as well as the Chern number. The results have
similarity to the adiabatic pumping of Bloch electrons and the spontaneous
polarization in crystalline dielectrics.
