%0 Journal Article %T Refining the Shifted Topological Vertex %A Lalla Btissam Drissi %A Houda Jehjouh %A El Hassan Saidi %J Mathematics %D 2008 %I arXiv %R 10.1063/1.3040186 %X We study aspects of the refining and shifting properties of the 3d MacMahon function $\mathcal{C}_{3}(q) $ used in topological string theory and BKP hierarchy. We derive the explicit expressions of the shifted topological vertex $\mathcal{S}_{\lambda \mu \nu}(q) $ and its refined version $\mathcal{T}_{\lambda \mu \nu}(q,t) $. These vertices complete results in literature. %U http://arxiv.org/abs/0812.0513v1