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A Genus-3 Topological Recursion Relation

Takashi Kimura·Xiaobo Liu
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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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Takashi Kimura, Xiaobo Liu. 2005-11-21. A Genus-3 Topological Recursion Relation. https://doi.org/10.1007/s00220-005-1481-8

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