Pole Structure of Topological String Free Energy
arXiv:math/0411357
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.
37 pages; v2: materials reorganized and references added, 46 pages; v3:title changed, to appear in Publ. Res. Inst. Math. Sci. Kyoto