Abstract

The topological vertex, developed by Aganagic, Klemm, Marino and Vafa, provides an explicitalgorithm to compute the open Gromov-Witten invariants of smooth toric Calabi-Yau threefolds inmathematics, as well as the A-model topological string amplitudes in physics. in this talk, l willintroduce our recent work on the connection between the topological vertex and multi-componentKP hierarchy. This talk is based on a joint work with Zhiyuan Wang and Jian Zhou.