2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55989The quantized magnetic flux $Φ=-4πN\sk, N=0,\pm1,...$ of non-topological vortices in the non-relativistic Chern-Simons theory is related to the topological degree of the $S^2\to S^2$ mapping defined by lifting the problem to the Riemann spheres. Regular solutions with finite degree only arise for rational functions, whose topological degree, $N$, is the commun number of their zeros and poles on the Riemann sphere, also called their algebraic order.5 pages, Plain Tex, no figuresHigh Energy Physics - TheoryMathematical Physicstext