2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68987In this paper, we give a simple formula for the generating function of genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology, and use this formula to prove the genus-2 Virasoro conjecture for such manifolds.31 pages, LaTex format. Added another proof for genus-2 Virasoro conjecture for manifolds with semisimple quantum cohomology. Improved presentationDifferential GeometryMathematical PhysicsAlgebraic GeometryGenus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomologytext