期刊
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
卷 42, 期 2, 页码 605-648出版社
KYOTO UNIV, PUBLICATIONS RESEARCH INST MATHEMATICAL SCIENCES
DOI: 10.2977/prims/1166642118
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The Gopakumar-Vafa invariants are numbers defined as certain linear combinations of the Gromov-Witten invariants. We prove that the GV invariants of a toric Calabi-Yau threefold are integers and that the invariants for high genera vanish. The proof of the integrality is based on elementary number theory and that of the vanishing uses the operator formalism and the exponential formula.
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