Murad Alim: Difference equations for Gromov-Witten potentials

Abstract: I will discuss a difference equation for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, I will further show that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants.