English

A genus-4 topological recursion relation for Gromov-Witten invariants

Algebraic Geometry 2016-09-03 v1

Abstract

In this paper, we give a new genus-4 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds via Pixton's relations on the moduli space of curves. As an application, we prove Pixton's relations imply a known topological recursion relation on Mˉg,1\bar{\mathcal{M}}_{g,1} for genus g4g\leq4.

Keywords

Cite

@article{arxiv.1608.08854,
  title  = {A genus-4 topological recursion relation for Gromov-Witten invariants},
  author = {Xin Wang},
  journal= {arXiv preprint arXiv:1608.08854},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:math/0502457, arXiv:1104.4378 by other authors

R2 v1 2026-06-22T15:36:33.383Z