English

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

Algebraic Geometry 2024-04-03 v2

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.

Keywords

Cite

@article{arxiv.2401.00899,
  title  = {Universal equations for higher genus Gromov-Witten invariants from Hodge integrals},
  author = {Felix Janda and Xin Wang},
  journal= {arXiv preprint arXiv:2401.00899},
  year   = {2024}
}

Comments

22 pages. Agrees with published version