Fusheng Deng, Jian Zhou
Published 2012-01-12, updated 2014-03-30Version 5
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.
Comments: 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
Flop invariance of the topological vertex
On Gromov--Witten invariants of $\mathbb{P}^1$
A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
![QR code for arXiv:1201.2500 [math.AG]](http://oss.arxitics.com/images/favicon.svg)