Out of the quantum product of a projective smooth variety, we can construct a vector bundle with a at connection and a pairing, these data are called quantum D-modules. In a recent paper of Iritani, he gives an explicit presentation of this D module for toric varieties. In this talk, we will consider a hypersurface in a toric variety and we give a link between the quantum D module of the ambient variety and the one of the hypersurface. Moreover, in the toric case, we will give a presentation of these D-modules. This is a common work with Thierry Mignon (Montpellier).
Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten