JournalsprimsVol. 42, No. 1pp. 173–219

Pole Structure of Topological String Free Energy

  • Yukiko Konishi

    Kyoto University, Japan
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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.

Cite this article

Yukiko Konishi, Pole Structure of Topological String Free Energy. Publ. Res. Inst. Math. Sci. 42 (2006), no. 1, pp. 173–219

DOI 10.2977/PRIMS/1166642063