  We study the nucleation and collective dynamics of Shankar skyrmions [R.
Shankar, Journal de Physique 38, 1405 (1977)] in the class of frustrated
magnetic systems described by an SO(3) order parameter, including multi-lattice
antiferromagnets and amorphous magnets. We infer the expression for the
spin-transfer torque that injects skyrmion charge into the system and the
Onsager-reciprocal pumping force that enables its detection by electrical
means. The thermally-assisted flow of topological charge gives rise to an
algebraically decaying drag signal in nonlocal transport measurements. We
contrast our findings to analogous effects mediated by spin supercurrents.
