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

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

2012-01-12

arxiv.org/abs/1201.2500v3

Mathematics

Algebraic Geometry

Scientific paper

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.

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