2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59696We describe genus g>1 potentials of semisimple Frobenius structures. Our formula can be considered as a definition in the axiomatic context of Frobenius manifolds. In Gromov-Witten theory, it becomes a conjecture expressing higher genus GW-invariants in terms of genus 0 GW-invariants of symplectic manifolds with generically semisimple quantum cup-product. The conjecture is supported by the corresponding theorem about equivariant GW-invariants of tori actions with isolated fixed points. The parallel theory of gravitational descendents is also presented.Exposition is improved according to reader's suggestions. To appear in IMRNAlgebraic Geometry14N10, 14H10, 58F05text