• Corpus ID: 117013534

On fermionic representation of the Gromov-Witten invariants of the resolved Conifold

@article{Deng2012OnFR,
  title={On fermionic representation of the Gromov-Witten invariants of the resolved Conifold},
  author={Fusheng Deng and Jian Zhou},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
We prove that the fermionic form of the generating function of the Gromov-Witten invariants of the resolved conifold is a Bogoliubov transform of the fermionic vacuum; in particular, it is a tau function of the KP hierarchy. Our proof is based on the gluing rule of the topological vertex and the formulas of the fermionic representations of the framed one-legged and two-legged topological vertex which were conjectured by Aganagic et al and proved in our recent work. 
1 Citations
Remarks on partition functions of topological string theory on generalized conifolds
The method of topological vertex for topological string theory on toric Calabi-Yau 3-folds is reviewed. Implications of an explicit formula of partition functions in the “on-strip” case, typically

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