In algebraic geometry, the -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification of the moduli space of curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande . Later, it was proven by C. Faber and R. Pandharipande using virtual localization in Gromov–Witten theory. It is named after the factor of , the gth Chern class of the Hodge bundle, appearing in its integrand. The other factor is a monomial in the , the first Chern classes of the n cotangent line bundles, as in Witten's conjecture.