  We derive and solve the difference equations on the toric modular kernel
following from the consistency relations in the fusion algebra. The result is
explicit and simple series expansion for the toric modular kernel of
non-degenerate Virasoro conformal blocks. We show that this expansion is
equivalent to the celebrated integral representation due to B. Ponsot and J.
Teschner. We also interpret obtained series representation as a
non-perturbative expansion and note that this raises further questions.
