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arXiv · 1201.2500

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

Fusheng Deng·Jian Zhou
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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.

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Fusheng Deng, Jian Zhou. 2014-03-30. On fermionic representation of the Gromov-Witten invariants of the resolved Conifold. https://arxiv.org/abs/1201.2500

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