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 Jfunction. 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) GromovWitten invariant when X and Y both satisfy certain positivity assumptions. In spirit, this is also a special case of the surgery formula in the openstring context compared to the closedstring surgery formula derived by LiRuan.
Files:
Speaker: Weiwei Wu
Institution: University of Georgia
Event Organizer:
