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Topological recursion relations on \(\overline M _{3,2} \)

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Abstract

We give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying relations in the tautological ring of the moduli space of 2-pointed genus-3 stable curves. A byproduct of our search for genus-3 equations is a new genus-2 universal equation for Gromov-Witten invariants.

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Correspondence to Xiaobo Liu.

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Kimura, T., Liu, X. Topological recursion relations on \(\overline M _{3,2} \) . Sci. China Math. 58, 1909–1922 (2015). https://doi.org/10.1007/s11425-015-5041-1

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  • DOI: https://doi.org/10.1007/s11425-015-5041-1

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