  We describe three perspectives on higher quantization, using the example of
magnetic Poisson structures which embody recent discussions of nonassociativity
in quantum mechanics with magnetic monopoles and string theory with
non-geometric fluxes. We survey approaches based on deformation quantization of
twisted Poisson structures, symplectic realization of almost symplectic
structures, and geometric quantization using 2-Hilbert spaces of sections of
suitable bundle gerbes. We compare and contrast these perspectives, describing
their advantages and shortcomings in each case, and mention many open avenues
for investigation.
