On fermionic representation of the Gromov-Witten invariants of the resolved Conifold
arXiv:1201.2500
Abstract
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.
This note is incorporated into the article "Fermionic gluing principle of the topological vertex ", arXiv:1204.5067. arXiv admin note: text overlap with arXiv:1111.0415