Universal Equations for Higher Genus Gromov–Witten Invariants from Hodge Integrals
摘要
We establish new universal equations for higher genus Gromov–Witten invariants of target manifolds, by studying both the Chern character and Chern classes of the Hodge bundle on the moduli space of curves. As a consequence, we find new push-forward relations on the moduli space of stable curves.