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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by Xiaobo Liu

Trans. Amer. Math. Soc. 363 (2011), 2939-2953

DOI: https://doi.org/10.1090/S0002-9947-2011-05091-9

Published electronically: January 27, 2011

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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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