2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77271For an arbitrary Frobenius manifold a system of Virasoro constraints is constructed. In the semisimple case these constraints are proved to hold true in the genus one approximation. Particularly, the genus $\leq 1$ Virasoro conjecture of T.Eguchi, K.Hori, M.Jinzenji, and C.-S.Xiong and of S.Katz is proved for smooth projective varieties having semisimple quantum cohomology.Latex, 40 pagesAlgebraic GeometryHigh Energy Physics - TheoryDifferential GeometryExactly Solvable and Integrable Systemstext