Primary invariants of Hurwitz Frobenius manifolds

It is a classical result that flat coordinates for a Hurwitz Frobenius manifold can be obtained as periods of a differential along cycles on the domain curve. We generalise this construction to primary invariants of the Hurwitz Frobenius manifolds. We show that they can be obtained as periods of multidifferentials along the same cycles. The multidifferentials are obtained via the topological recursion procedure.