The dimension of the Hilbert Space of Geometic quantization of vortices   on a Riemann surface
  In this article we calculate the dimension of the Hilbert space of Kahler quantization of the moduli space of vortices on a Riemann surface. This dimension is given by the holomorphic Euler characteristic of the quantum line bundle. 
Rukmini Dey, Saibal Ganguli
math.DG math-ph math.AG math.AT math.MP math.SG