On fermionic representation of the Gromov-Witten invariants of the   resolved Conifold
  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. 
Fusheng Deng and Jian Zhou
math.AG hep-th math-ph math.MP