On certain vanishing identities for Gromov-Witten invariants

Liu, Xiaobo

doi:10.1090/S0002-9947-2011-05091-9

On certain vanishing identities for Gromov-Witten invariants
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Trans. Amer. Math. Soc. 363 (2011), 2939-2953 Request permission

Abstract:

In this paper we study certain vanishing identities for Gromov-Witten invariants conjectured by K. Liu and H. Xu. We will prove their conjectures when the summation range is big compared to the genus. In such cases, we actually obtained vanishing identities which are stronger than their conjectures. We also prove these conjectures in low genus cases.

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