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Pole Structure of Topological String Free Energy

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Preprint
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Submission Date
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arXiv ID: math/0411357
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arXiv
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Abstract

We show that the free energy of the topological string admits a certain pole structure by using the operator formalism. Combined with the results of Peng that proved the integrality, this gives a combinatoric proof of the Gopakumar-Vafa conjecture.

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