  K. Saito's theory of primitive forms gives a natural semi-simple Frobenius
manifold structure on the space of miniversal deformations of an isolated
singularity. On the other hand, Givental introduced the notion of a total
ancestor potential for every semi-simple point of a Frobenius manifold and
conjectured that in the settings of singularity theory his definition extends
analytically to non-semisimple points as well. In this paper we prove
Givental's conjecture by using the Eynard--Orantin recursion.
