paper

Universal equations for higher genus Gromov-Witten invariants from Hodge integrals

arXiv:2401.00899 · doi:10.1007/s00220-024-04931-w

Abstract

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.

22 pages. Agrees with published version

Universal equations for higher genus Gromov-Witten invariants from Hodge integrals · wovepaper