SU(N) Geometries and Topological String Amplitudes

@article{Iqbal2003SUNGA,
  title={SU(N) Geometries and Topological String Amplitudes},
  author={Amer Iqbal and Amir-Kian Kashani-Poor},
  journal={Advances in Theoretical and Mathematical Physics},
  year={2003},
  volume={10},
  pages={1-32}
}
It has been conjectured recently that the field theory limit of the topological string partition functions, including all higher genus contributions, for the family of CY3folds giving rise to N = 2 4D SU(N) gauge theory via geometric engineering can be obtained from gauge instanton calculus. We verify this surprising conjecture by calculating the partition functions for such local CYs using diagrammatic techniques inspired by geometric transitions. Determining the Gopakumar-Vafa invariants for… 
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