Abstract
By using ϕ-mapping method, we discuss the topologicalstructure of the self-duality solution in Jackiw–Pi model in termsof gauge potential decomposition. We set up relationship betweenChern–Simons vortex solution and topological number, which isdetermined by Hopf index and Brouwer degree. We also give thequantization of flux in this case. Then, we study the angularmomentum of the vortex, which can be expressed in terms of the flux.
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