EVENT DETAILS AND ABSTRACT

Title: Differential equations for the open Gromov-Witten potential
Speaker: Jake P. Solomon
Speaker Info: Princeton
Brief Description:
Special Note:
Abstract:

I will describe a system of differential equations for the genus 0 open Gromov-Witten potential of a Lagrangian submanifold of a symplectic 4-manifold fixed by an anti-symplectic involution. These equations involve both the open Gromov-Witten potential and the closed Gromov-Witten potential. They are sufficiently restrictive that in significant examples they completely determine both the open and closed Gromov-Witten potentials up to a finite number of constants. The proof relies on an open-closed generalization of the topological conformal field theory behind the WDVV equation. If time permits, I will discuss target spaces of dimension 0 and 6 as well.