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

  • Xin Wang
Articles

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 that Pixton's relations imply a known topological recursion relation on \(\bar{\mathcal{M}}_{g,1}\) for genus g ≤ 4.

Keywords

topological recursion relation moduli space of curves Gromov-Witten invariants 

MSC(2010)

14N35 53D45 

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Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 11601279) and the Fundamental Research Funds of Shandong University. The author thanks Professor Xiaobo Liu for helpful discussion. The author also thanks Felix Janda for lots of helpful comments on the paper.

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Copyright information

© Science in China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsShandong UniversityJinanChina

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