1201.2500 (Fusheng Deng et al.)

On fermionic representation of the Gromov-Witten invariants of the
resolved Conifold    [PDF]

Fusheng Deng, Jian Zhou

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.

View original: http://arxiv.org/abs/1201.2500