  We demonstrate that ultracold polyatomic symmetric top molecules, such as
methyl fluoride, loaded into an optical lattice and subject to DC electric and
microwave field dressing, can display topological order via a self-consistent
analog of a proximity effect in the internal state space of the molecule. The
non-trivial topology arises from pairwise transitions between internal states
induced by dipole-dipole interactions and made resonant by the field dressing.
Topological order is explicitly demonstrated by matrix product state
simulations on 1D chains. Additionally, we show that in the limit of pinned
molecules our description maps onto a long-range and anisotropic XYZ spin
model, where Majorana fermions are zero-energy edge excitations in the case of
nearest-neighbor couplings.
