Pole Structure of Topological String Free Energy
Algebraic Geometry
2007-05-23 v3 Combinatorics
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
@article{arxiv.math/0411357,
title = {Pole Structure of Topological String Free Energy},
author = {Yukiko Konishi},
journal= {arXiv preprint arXiv:math/0411357},
year = {2007}
}
Comments
37 pages; v2: materials reorganized and references added, 46 pages; v3:title changed, to appear in Publ. Res. Inst. Math. Sci. Kyoto