Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds

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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.
v1:33 pages; v2:typos corrected; v3: Proof of prop 3.3 given for general toric Calabi-Yau threefolds. The version to appear in Publ.RIMS

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Algebraic Geometry, 14N35; 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/101192

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504188
 http://arxiv.org/abs/math/0504188

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arXiv