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We show that the recent construction of $N_f=1$ baryons on the $\eta^\prime$domain wall can be understood as vortexes of the principal effective theory --the Chern-Simons-Higgs theory -- on a 2+1-dimensional sheet. This theory has aseries of vertex solutions, and the vortex with unit topological chargenaturally spins $N_c/2$, which coincides with the spin of the one-flavor baryonin QCD. Since the $N_c$ scaling of the vortexes is the same as that of baryons,baryons can be regarded as vortexes. By virtue of the particle-vortex symmetry,the dual Zhang-Hansson-Kivelson theory indicates that the quark carriestopological charge $1/N_c$ and obeys fractional statistics. The generalizationto arbitrary $N_f$ is also discussed.

Baryons as Vortexes on the $\eta^{\prime}$ Domain Wall