A geometric approach to quantum vortices

In this paper a geometrical description is given of the theory of quantum vortices first developed by M.Rasetti and T.Regge, relying on the symplectic techniques introduced by J.Marsden and A.Weinstein and of the Kirillov-Kostant-Souriau geometric quantization prescription. The RR current algebra is intepreted as the natural hamiltonian algebra associated to a certain coadjoint orbit of the group of volume preserving diffeomorphisms of R^3. and the Feynman-Onsager relation is traced back to the integrality of the orbit.