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Pole Structure of Topological String Free Energy

Yukiko Konishi
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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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Yukiko Konishi. 2005-04-18. Pole Structure of Topological String Free Energy. https://arxiv.org/abs/math/0411357

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