Abstract
In this paper, we give a new genus-3 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds. This formula also applies to intersection numbers on moduli spaces of spin curves. A by-product of the proof of this formula is a new relation in the tautological ring of the moduli space of 1-pointed genus-3 stable curves.
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Communicated by L. Takhtajan
Research of the first author was partially supported by NSF grant DMS-0204824
Research of the second author was partially supported by NSF grant DMS-0505835
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Kimura, T., Liu, X. A Genus-3 Topological Recursion Relation. Commun. Math. Phys. 262, 645–661 (2006). https://doi.org/10.1007/s00220-005-1481-8
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DOI: https://doi.org/10.1007/s00220-005-1481-8