Based on the Landau-Ginzburg Lagrangian, the dynamics of a vortex is studied
for superfluid He3-A characterized by the l-texture. The resultant equation of
motion for a vortex leads to the Magnus-type force caused by the l-texture. The
force is explicitly written in terms of the mapping degree from the
compactified 2-dimensional plane to the space of l-vector, which reflects the
quantitative differences of vortex configurations, especially the Mermin-Ho and
Anderson-Toulouse vortices. The formulation is applied to anisotropic
superconductors in which the Hall current is shown to incorporate changes
between vortex configurations.Comment: 4 pages, RevTex(twocolumn