|HOMOLOGICAL MIRROR SYMMETRY|
|Topic:||A Differential Equation for the Open Gromov-Witten Potential|
|Affiliation:||Massachusetts Insitutute of Technology and Member, School of Mathematics|
|Date:||Wednesday, April 11|
|Time/Room:||11:00am - 12:00pm/S-101|
I will describe a system of differential equations for the genus 0 open Gromov-Witten potential of a Lagrangian submanifold fixed by an anti-symplectic involution. These equations involve both the open Gromov-Witten potential and the closed Gromov-Witten potential. They are so restrictive, that in important 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.