|Date: Friday, March 01, 2019
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: An open string analog of Quantum Lefschetz theorem
Abstract: I'll explain an open string analog of the Quantum Lefschetz theorem for quantum periods, which is the unit component of the small J-function. Recently, Tonkonog proved that the quantum periods, in particular, all descendant invariants with one point insertion of a Fano manifold can be recovered by the superpotential of a single monotone Lagrangian torus. Given a Lagrangian submanifold $L$ in a symplectic hypersurface $Y\subset X$, I'll explain how to obtain the superpotential of the "rim Lagrangian" $\tilde L$ by an extra term coming from the relative (descendant) Gromov-Witten invariant when X and Y both satisfy certain positivity assumptions. In spirit, this is also a special case of the surgery formula in the open-string context compared to the closed-string surgery formula derived by Li-Ruan.
Speaker: Weiwei Wu
Institution: University of Georgia