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. 173–219DOI 10.2977/PRIMS/1166642063