Pole Structure of Topological String Free Energy

Details Pole Structure of Topological String Free Energy Pole Structure of Topological String Free Energy

2004-11-16

arxiv.org/abs/math/0411357v3

Mathematics

Algebraic Geometry

37 pages; v2: materials reorganized and references added, 46 pages; v3:title changed, to appear in Publ. Res. Inst. Math. Sci.

Scientific paper

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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